106762368064 has 56 divisors (see below), whose sum is σ = 231153919200. Its totient is φ = 48520442880.

The previous prime is 106762368061. The next prime is 106762368073. The reversal of 106762368064 is 460863267601.

It is a super-2 number, since 2×106762368064² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106762367999 and 106762368017.

It is not an unprimeable number, because it can be changed into a prime (106762368061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7997107 + ... + 8010445.

Almost surely, 2^106762368064 is an apocalyptic number.

It is an amenable number.

106762368064 is an abundant number, since it is smaller than the sum of its proper divisors (124391551136).

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

106762368064 is a wasteful number, since it uses less digits than its factorization.

106762368064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24731 (or 24721 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 49.

The spelling of 106762368064 in words is "one hundred six billion, seven hundred sixty-two million, three hundred sixty-eight thousand, sixty-four".