100135792092 has 192 divisors, whose sum is σ = 278828605440. Its totient is φ = 27365990400.

The previous prime is 100135792069. The next prime is 100135792109. The reversal of 100135792092 is 290297531001.

It is a self number, because there is not a number n which added to its sum of digits gives 100135792092.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 164968053 + ... + 164968659.

It is an arithmetic number, because the mean of its divisors is an integer number (1452232320).

Almost surely, 2^100135792092 is an apocalyptic number.

100135792092 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 100135792092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139414302720).

100135792092 is an abundant number, since it is smaller than the sum of its proper divisors (178692813348).

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

100135792092 is a wasteful number, since it uses less digits than its factorization.

100135792092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 39.

The spelling of 100135792092 in words is "one hundred billion, one hundred thirty-five million, seven hundred ninety-two thousand, ninety-two".