105809523904 has 56 divisors (see below), whose sum is σ = 240159296160. Its totient is φ = 45309444096.

The previous prime is 105809523881. The next prime is 105809523907. The reversal of 105809523904 is 409325908501.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×105809523904² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105809523907) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 448182 + ... + 642250.

It is an arithmetic number, because the mean of its divisors is an integer number (4288558860).

Almost surely, 2^105809523904 is an apocalyptic number.

105809523904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105809523904 is an abundant number, since it is smaller than the sum of its proper divisors (134349772256).

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

105809523904 is a wasteful number, since it uses less digits than its factorization.

105809523904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195305 (or 195295 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 46.

The spelling of 105809523904 in words is "one hundred five billion, eight hundred nine million, five hundred twenty-three thousand, nine hundred four".