105864944640 has 1408 divisors, whose sum is σ = 451631738880. Its totient is φ = 20554186752.

The previous prime is 105864944639. The next prime is 105864944659. The reversal of 105864944640 is 46449468501.

It is a super-2 number, since 2×105864944640² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1189493716 + ... + 1189493804.

Almost surely, 2^105864944640 is an apocalyptic number.

105864944640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105864944640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225815869440).

105864944640 is an abundant number, since it is smaller than the sum of its proper divisors (345766794240).

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

105864944640 is a wasteful number, since it uses less digits than its factorization.

105864944640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 51.

The spelling of 105864944640 in words is "one hundred five billion, eight hundred sixty-four million, nine hundred forty-four thousand, six hundred forty".