100892402496 has 168 divisors, whose sum is σ = 300136584384. Its totient is φ = 33604346880.

The previous prime is 100892402477. The next prime is 100892402509. The reversal of 100892402496 is 694204298001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37214581 + ... + 37217291.

It is an arithmetic number, because the mean of its divisors is an integer number (1786527288).

Almost surely, 2^100892402496 is an apocalyptic number.

100892402496 is a gapful number since it is divisible by the number (16) 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 100892402496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150068292192).

100892402496 is an abundant number, since it is smaller than the sum of its proper divisors (199244181888).

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

100892402496 is an equidigital number, since it uses as much as digits as its factorization.

100892402496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5131 (or 5109 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 100892402496 in words is "one hundred billion, eight hundred ninety-two million, four hundred two thousand, four hundred ninety-six".