100379520 has 256 divisors, whose sum is σ = 367444800. Its totient is φ = 25878528.

The previous prime is 100379479. The next prime is 100379551. The reversal of 100379520 is 25973001.

100379520 is a `hidden beast` number, since 100 + 37 + 9 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 639282 + ... + 639438.

Almost surely, 2^100379520 is an apocalyptic number.

100379520 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 100379520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183722400).

100379520 is an abundant number, since it is smaller than the sum of its proper divisors (267065280).

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

100379520 is a wasteful number, since it uses less digits than its factorization.

100379520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 100379520 is about 10018.9580296556. The cubic root of 100379520 is about 464.7453340180.

The spelling of 100379520 in words is "one hundred million, three hundred seventy-nine thousand, five hundred twenty".