105415715500 has 48 divisors (see below), whose sum is σ = 230263959744. Its totient is φ = 42159686400.

The previous prime is 105415715473. The next prime is 105415715513. The reversal of 105415715500 is 5517514501.

It is a super-2 number, since 2×105415715500² (a number of 23 digits) contains 22 as substring.

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, 4319332 + ... + 4343668.

It is an arithmetic number, because the mean of its divisors is an integer number (4797165828).

Almost surely, 2^105415715500 is an apocalyptic number.

105415715500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105415715500 is an abundant number, since it is smaller than the sum of its proper divisors (124848244244).

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

105415715500 is a wasteful number, since it uses less digits than its factorization.

105415715500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33019 (or 33007 counting only the distinct ones).

The product of its (nonzero) digits is 17500, while the sum is 34.

The spelling of 105415715500 in words is "one hundred five billion, four hundred fifteen million, seven hundred fifteen thousand, five hundred".