105004105025520 has 80 divisors (see below), whose sum is σ = 332438528286720. Its totient is φ = 27405326698752.

The previous prime is 105004105025507. The next prime is 105004105025537. The reversal of 105004105025520 is 25520501400501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×105004105025520² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4654426000 + ... + 4654448559.

It is an arithmetic number, because the mean of its divisors is an integer number (4155481603584).

Almost surely, 2^{105004105025520} is an apocalyptic number.

105004105025520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105004105025520 is an abundant number, since it is smaller than the sum of its proper divisors (227434423261200).

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

105004105025520 is a wasteful number, since it uses less digits than its factorization.

105004105025520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9308874622 (or 9308874616 counting only the distinct ones).

The product of its (nonzero) digits is 10000, while the sum is 30.

The spelling of 105004105025520 in words is "one hundred five trillion, four billion, one hundred five million, twenty-five thousand, five hundred twenty".