105001413696 has 56 divisors (see below), whose sum is σ = 308684716640. Its totient is φ = 35000470656.

The previous prime is 105001413689. The next prime is 105001413707. The reversal of 105001413696 is 696314100501.

105001413696 is a `hidden beast` number, since 1 + 0 + 500 + 14 + 136 + 9 + 6 = 666.

It is a super-2 number, since 2×105001413696² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 105001413696.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30380626 + ... + 30384081.

Almost surely, 2^105001413696 is an apocalyptic number.

105001413696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105001413696 is an abundant number, since it is smaller than the sum of its proper divisors (203683302944).

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

105001413696 is an equidigital number, since it uses as much as digits as its factorization.

105001413696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60764728 (or 60764712 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 105001413696 in words is "one hundred five billion, one million, four hundred thirteen thousand, six hundred ninety-six".