100368992640 has 768 divisors, whose sum is σ = 398661696000. Its totient is φ = 20981514240.

The previous prime is 100368992629. The next prime is 100368992657. The reversal of 100368992640 is 46299863001.

It is a super-3 number, since 3×100368992640³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 100368992640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 245400756 + ... + 245401164.

It is an arithmetic number, because the mean of its divisors is an integer number (519090750).

Almost surely, 2^100368992640 is an apocalyptic number.

100368992640 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 100368992640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199330848000).

100368992640 is an abundant number, since it is smaller than the sum of its proper divisors (298292703360).

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

100368992640 is a wasteful number, since it uses less digits than its factorization.

100368992640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The spelling of 100368992640 in words is "one hundred billion, three hundred sixty-eight million, nine hundred ninety-two thousand, six hundred forty".