105071925904 has 135 divisors (see below), whose sum is σ = 229720543689. Its totient is φ = 46521720960.

The previous prime is 105071925899. The next prime is 105071925913. The reversal of 105071925904 is 409529170501.

The square root of 105071925904 is 324148.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 75746048400 + 29325877504 = 275220^2 + 171248^2 .

It is a super-2 number, since 2×105071925904² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 755913067 + ... + 755913205.

Almost surely, 2^105071925904 is an apocalyptic number.

105071925904 is the 324148-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105071925904

105071925904 is an abundant number, since it is smaller than the sum of its proper divisors (124648617785).

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

105071925904 is an equidigital number, since it uses as much as digits as its factorization.

105071925904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 43.

The spelling of 105071925904 in words is "one hundred five billion, seventy-one million, nine hundred twenty-five thousand, nine hundred four".