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107810136 = 23337113631
BaseRepresentation
bin1100110110100…
…00110101011000
321111212022201000
412123100311120
5210044411021
614410425000
72446241160
oct633206530
9244768630
10107810136
1155946395
1230132160
13194496a5
14104655a0
1596e8b26
hex66d0d58

107810136 has 128 divisors (see below), whose sum is σ = 345830400. Its totient is φ = 30481920.

The previous prime is 107810117. The next prime is 107810147. The reversal of 107810136 is 631018701.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 170541 + ... + 171171.

It is an arithmetic number, because the mean of its divisors is an integer number (2701800).

Almost surely, 2107810136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107810136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172915200).

107810136 is an abundant number, since it is smaller than the sum of its proper divisors (238020264).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

107810136 is a wasteful number, since it uses less digits than its factorization.

107810136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 107810136 is about 10383.1659911609. The cubic root of 107810136 is about 475.9410867935.

Adding to 107810136 its reverse (631018701), we get a palindrome (738828837).

The spelling of 107810136 in words is "one hundred seven million, eight hundred ten thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 113 126 168 189 216 226 252 339 378 452 504 631 678 756 791 904 1017 1262 1356 1512 1582 1893 2034 2373 2524 2712 3051 3164 3786 4068 4417 4746 5048 5679 6102 6328 7119 7572 8136 8834 9492 11358 12204 13251 14238 15144 17037 17668 18984 21357 22716 24408 26502 28476 34074 35336 39753 42714 45432 53004 56952 68148 71303 79506 85428 106008 119259 136296 142606 159012 170856 213909 238518 285212 318024 427818 477036 499121 570424 641727 855636 954072 998242 1283454 1497363 1711272 1925181 1996484 2566908 2994726 3850362 3992968 4492089 5133816 5989452 7700724 8984178 11978904 13476267 15401448 17968356 26952534 35936712 53905068 107810136