105256435320 has 96 divisors (see below), whose sum is σ = 342945551520. Its totient is φ = 27997643520.

The previous prime is 105256435307. The next prime is 105256435331. The reversal of 105256435320 is 23534652501.

105256435320 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 5 + 643 + 5 + 3 + 2 + 0 = 666.

It is a super-2 number, since 2×105256435320² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 225316 + ... + 511155.

It is an arithmetic number, because the mean of its divisors is an integer number (3572349495).

Almost surely, 2^105256435320 is an apocalyptic number.

105256435320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105256435320 is an abundant number, since it is smaller than the sum of its proper divisors (237689116200).

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

105256435320 is a wasteful number, since it uses less digits than its factorization.

105256435320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736885 (or 736878 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

It can be divided in two parts, 10525 and 6435320, that added together give a triangular number (6445845 = T₃₅₉₀).

The spelling of 105256435320 in words is "one hundred five billion, two hundred fifty-six million, four hundred thirty-five thousand, three hundred twenty".