100979136 has 168 divisors, whose sum is σ = 309172864. Its totient is φ = 32659200.

The previous prime is 100979107. The next prime is 100979147. The reversal of 100979136 is 631979001.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 100979136.

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, 668661 + ... + 668811.

Almost surely, 2^100979136 is an apocalyptic number.

100979136 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 100979136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154586432).

100979136 is an abundant number, since it is smaller than the sum of its proper divisors (208193728).

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

100979136 is an equidigital number, since it uses as much as digits as its factorization.

100979136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The square root of 100979136 is about 10048.8375447113. The cubic root of 100979136 is about 465.6688812960.

The spelling of 100979136 in words is "one hundred million, nine hundred seventy-nine thousand, one hundred thirty-six".