100880092052352 has 192 divisors, whose sum is σ = 290784086021520. Its totient is φ = 33569851392000.

The previous prime is 100880092052339. The next prime is 100880092052381. The reversal of 100880092052352 is 253250290088001.

100880092052352 is a `hidden beast` number, since 10 + 0 + 8 + 80 + 0 + 9 + 205 + 2 + 352 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 100880092052298 and 100880092052307.

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, 1888724527 + ... + 1888777937.

Almost surely, 2^{100880092052352} is an apocalyptic number.

100880092052352 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 100880092052352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145392043010760).

100880092052352 is an abundant number, since it is smaller than the sum of its proper divisors (189903993969168).

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

100880092052352 is a wasteful number, since it uses less digits than its factorization.

100880092052352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56173 (or 56158 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 100880092052352 in words is "one hundred trillion, eight hundred eighty billion, ninety-two million, fifty-two thousand, three hundred fifty-two".