100092819100 has 72 divisors (see below), whose sum is σ = 226717239168. Its totient is φ = 38284171200.

The previous prime is 100092819061. The next prime is 100092819119. The reversal of 100092819100 is 1918290001.

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, 11005555 + ... + 11014645.

It is an arithmetic number, because the mean of its divisors is an integer number (3148850544).

Almost surely, 2^100092819100 is an apocalyptic number.

100092819100 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 100092819100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113358619584).

100092819100 is an abundant number, since it is smaller than the sum of its proper divisors (126624420068).

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

100092819100 is a wasteful number, since it uses less digits than its factorization.

100092819100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13915 (or 13908 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 31.

The spelling of 100092819100 in words is "one hundred billion, ninety-two million, eight hundred nineteen thousand, one hundred".