105124415402400 has 72 divisors (see below), whose sum is σ = 342179972142624. Its totient is φ = 28033177440000.

The previous prime is 105124415402399. The next prime is 105124415402519. The reversal of 105124415402400 is 4204514421501.

It is a super-2 number, since 2×105124415402400² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21900917476 + ... + 21900922275.

It is an arithmetic number, because the mean of its divisors is an integer number (4752499613092).

Almost surely, 2^{105124415402400} is an apocalyptic number.

105124415402400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105124415402400 is an abundant number, since it is smaller than the sum of its proper divisors (237055556740224).

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

105124415402400 is a wasteful number, since it uses less digits than its factorization.

105124415402400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43801839774 (or 43801839761 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 33.

Adding to 105124415402400 its reverse (4204514421501), we get a palindrome (109328929823901).

The spelling of 105124415402400 in words is "one hundred five trillion, one hundred twenty-four billion, four hundred fifteen million, four hundred two thousand, four hundred".