100798176223920 has 1920 divisors, whose sum is σ = 419823808413696. Its totient is φ = 19489310539776.

The previous prime is 100798176223873. The next prime is 100798176223961. The reversal of 100798176223920 is 29322671897001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 30115975687 + ... + 30115979033.

Almost surely, 2^{100798176223920} is an apocalyptic number.

100798176223920 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 100798176223920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209911904206848).

100798176223920 is an abundant number, since it is smaller than the sum of its proper divisors (319025632189776).

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

100798176223920 is a wasteful number, since it uses less digits than its factorization.

100798176223920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3575 (or 3550 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 57.

The spelling of 100798176223920 in words is "one hundred trillion, seven hundred ninety-eight billion, one hundred seventy-six million, two hundred twenty-three thousand, nine hundred twenty".