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105135204 = 223371072213
BaseRepresentation
bin1100100010000…
…11110001100100
321022211102101110
412101003301210
5203403311304
614233225020
72414430426
oct621036144
9238742343
10105135204
11543896a9
122b262170
1318a20ca5
14dd6a816
15936b289
hex6443c64

105135204 has 48 divisors (see below), whose sum is σ = 254415168. Its totient is φ = 33763968.

The previous prime is 105135169. The next prime is 105135221. The reversal of 105135204 is 402531501.

It is a super-2 number, since 2×1051352042 = 22106822240243232, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46402 + ... + 48614.

It is an arithmetic number, because the mean of its divisors is an integer number (5300316).

Almost surely, 2105135204 is an apocalyptic number.

It is an amenable number.

105135204 is an abundant number, since it is smaller than the sum of its proper divisors (149279964).

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

105135204 is a wasteful number, since it uses less digits than its factorization.

105135204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2364 (or 2362 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 105135204 is about 10253.5459232404. The cubic root of 105135204 is about 471.9718035919.

Adding to 105135204 its reverse (402531501), we get a palindrome (507666705).

The spelling of 105135204 in words is "one hundred five million, one hundred thirty-five thousand, two hundred four".

Divisors: 1 2 3 4 6 12 37 74 107 111 148 214 222 321 428 444 642 1284 2213 3959 4426 6639 7918 8852 11877 13278 15836 23754 26556 47508 81881 163762 236791 245643 327524 473582 491286 710373 947164 982572 1420746 2841492 8761267 17522534 26283801 35045068 52567602 105135204