10099910164032 has 448 divisors, whose sum is σ = 32382189987840. Its totient is φ = 3068368791552.

The previous prime is 10099910163961. The next prime is 10099910164051. The reversal of 10099910164032 is 23046101999001.

It is a super-2 number, since 2×10099910164032² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 737913093 + ... + 737926779.

It is an arithmetic number, because the mean of its divisors is an integer number (72281674080).

Almost surely, 2^{10099910164032} is an apocalyptic number.

10099910164032 is a gapful number since it is divisible by the number (12) 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 10099910164032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16191094993920).

10099910164032 is an abundant number, since it is smaller than the sum of its proper divisors (22282279823808).

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

10099910164032 is a wasteful number, since it uses less digits than its factorization.

10099910164032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14135 (or 14119 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The spelling of 10099910164032 in words is "ten trillion, ninety-nine billion, nine hundred ten million, one hundred sixty-four thousand, thirty-two".