105004415055520 has 96 divisors (see below), whose sum is σ = 260896968880128. Its totient is φ = 39859258779648.

The previous prime is 105004415055487. The next prime is 105004415055611. The reversal of 105004415055520 is 25550514400501.

It is a super-2 number, since 2×105004415055520² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105004415055520.

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, 111870469 + ... + 112805188.

It is an arithmetic number, because the mean of its divisors is an integer number (2717676759168).

Almost surely, 2^{105004415055520} is an apocalyptic number.

105004415055520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105004415055520 is an abundant number, since it is smaller than the sum of its proper divisors (155892553824608).

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

105004415055520 is a wasteful number, since it uses less digits than its factorization.

105004415055520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224675822 (or 224675814 counting only the distinct ones).

The product of its (nonzero) digits is 100000, while the sum is 37.

The spelling of 105004415055520 in words is "one hundred five trillion, four billion, four hundred fifteen million, fifty-five thousand, five hundred twenty".