105994764864 has 84 divisors (see below), whose sum is σ = 315067303824. Its totient is φ = 35331583104.

The previous prime is 105994764859. The next prime is 105994764877. The reversal of 105994764864 is 468467499501.

105994764864 is a `hidden beast` number, since 10 + 5 + 99 + 476 + 4 + 8 + 64 = 666.

It is a super-2 number, since 2×105994764864² (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 11 ways as a sum of consecutive naturals, for example, 3392202 + ... + 3423305.

It is an arithmetic number, because the mean of its divisors is an integer number (3750801236).

Almost surely, 2^105994764864 is an apocalyptic number.

It is an amenable number.

105994764864 is an abundant number, since it is smaller than the sum of its proper divisors (209072538960).

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

105994764864 is an frugal number, since it uses more digits than its factorization.

105994764864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6815534 (or 6815512 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 105994764864 in words is "one hundred five billion, nine hundred ninety-four million, seven hundred sixty-four thousand, eight hundred sixty-four".