Search a number
-
+
105135450 = 23527100129
BaseRepresentation
bin1100100010000…
…11110101011010
321022211102201120
412101003311122
5203403313300
614233230110
72414431230
oct621036532
9238742646
10105135450
1154389902
122b262336
1318a21134
14dd6a950
15936b3a0
hex6443d5a

105135450 has 48 divisors (see below), whose sum is σ = 297986880. Its totient is φ = 24030720.

The previous prime is 105135449. The next prime is 105135523. The reversal of 105135450 is 54531501.

It is a super-2 number, since 2×1051354502 = 22106925693405000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105135450.

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 23 ways as a sum of consecutive naturals, for example, 49015 + ... + 51114.

It is an arithmetic number, because the mean of its divisors is an integer number (6208060).

Almost surely, 2105135450 is an apocalyptic number.

105135450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105135450 is an abundant number, since it is smaller than the sum of its proper divisors (192851430).

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

105135450 is a wasteful number, since it uses less digits than its factorization.

105135450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100151 (or 100146 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 105135450 is about 10253.5579190835. The cubic root of 105135450 is about 471.9721717051.

Adding to 105135450 its reverse (54531501), we get a palindrome (159666951).

The spelling of 105135450 in words is "one hundred five million, one hundred thirty-five thousand, four hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 150 175 210 350 525 1050 100129 200258 300387 500645 600774 700903 1001290 1401806 1501935 2102709 2503225 3003870 3504515 4205418 5006450 7009030 7509675 10513545 15019350 17522575 21027090 35045150 52567725 105135450