100379250 has 80 divisors (see below), whose sum is σ = 280761624. Its totient is φ = 26762400.

The previous prime is 100379207. The next prime is 100379281. The reversal of 100379250 is 52973001.

It can be written as a sum of positive squares in 4 ways, for example, as 48149721 + 52229529 = 6939^2 + 7227^2 .

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

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17772 + ... + 22728.

Almost surely, 2^100379250 is an apocalyptic number.

100379250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100379250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140380812).

100379250 is an abundant number, since it is smaller than the sum of its proper divisors (180382374).

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

100379250 is an equidigital number, since it uses as much as digits as its factorization.

100379250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4986 (or 4967 counting only the distinct ones).

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

The square root of 100379250 is about 10018.9445551914. The cubic root of 100379250 is about 464.7449173282.

The spelling of 100379250 in words is "one hundred million, three hundred seventy-nine thousand, two hundred fifty".