100379136 has 160 divisors (see below), whose sum is σ = 314854848. Its totient is φ = 28016640.

The previous prime is 100379131. The next prime is 100379141. The reversal of 100379136 is 631973001.

It is an interprime number because it is at equal distance from previous prime (100379131) and next prime (100379141).

It is not an unprimeable number, because it can be changed into a prime (100379131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219420 + ... + 219876.

Almost surely, 2^100379136 is an apocalyptic number.

100379136 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 100379136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157427424).

100379136 is an abundant number, since it is smaller than the sum of its proper divisors (214475712).

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

100379136 is a wasteful number, since it uses less digits than its factorization.

100379136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 30.

The square root of 100379136 is about 10018.9388659678. The cubic root of 100379136 is about 464.7447413923.

The spelling of 100379136 in words is "one hundred million, three hundred seventy-nine thousand, one hundred thirty-six".