105265516230 has 96 divisors (see below), whose sum is σ = 331188346944. Its totient is φ = 22645352448.

The previous prime is 105265516199. The next prime is 105265516241. The reversal of 105265516230 is 32615562501.

105265516230 is a `hidden beast` number, since 1 + 0 + 5 + 26 + 5 + 5 + 1 + 623 + 0 = 666.

It is a super-2 number, since 2×105265516230² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4903647 + ... + 4925066.

It is an arithmetic number, because the mean of its divisors is an integer number (3449878614).

Almost surely, 2^105265516230 is an apocalyptic number.

105265516230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105265516230 is an abundant number, since it is smaller than the sum of its proper divisors (225922830714).

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

105265516230 is a wasteful number, since it uses less digits than its factorization.

105265516230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9828750 (or 9828747 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 105265516230 in words is "one hundred five billion, two hundred sixty-five million, five hundred sixteen thousand, two hundred thirty".