105642704064 has 56 divisors (see below), whose sum is σ = 279559164528. Its totient is φ = 35208417280.

The previous prime is 105642704033. The next prime is 105642704071. The reversal of 105642704064 is 460407246501.

It is a super-2 number, since 2×105642704064² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1209844 + ... + 1294220.

It is an arithmetic number, because the mean of its divisors is an integer number (4992127938).

Almost surely, 2^105642704064 is an apocalyptic number.

It is an amenable number.

105642704064 is an abundant number, since it is smaller than the sum of its proper divisors (173916460464).

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

105642704064 is an equidigital number, since it uses as much as digits as its factorization.

105642704064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90913 (or 90903 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 105642704064 in words is "one hundred five billion, six hundred forty-two million, seven hundred four thousand, sixty-four".