105357923325 has 36 divisors (see below), whose sum is σ = 196912441440. Its totient is φ = 53747807520.

The previous prime is 105357923257. The next prime is 105357923357. The reversal of 105357923325 is 523329753501.

105357923325 is a `hidden beast` number, since 1 + 0 + 53 + 579 + 2 + 3 + 3 + 25 = 666.

It is not a de Polignac number, because 105357923325 - 2⁷ = 105357923197 is a prime.

It is a super-2 number, since 2×105357923325² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10174335 + ... + 10184684.

It is an arithmetic number, because the mean of its divisors is an integer number (5469790040).

Almost surely, 2^105357923325 is an apocalyptic number.

105357923325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105357923325 is a deficient number, since it is larger than the sum of its proper divisors (91554518115).

105357923325 is a wasteful number, since it uses less digits than its factorization.

105357923325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20359058 (or 20359050 counting only the distinct ones).

The product of its (nonzero) digits is 850500, while the sum is 45.

The spelling of 105357923325 in words is "one hundred five billion, three hundred fifty-seven million, nine hundred twenty-three thousand, three hundred twenty-five".