100938960 has 200 divisors, whose sum is σ = 360906216. Its totient is φ = 26127360.

The previous prime is 100938947. The next prime is 100938991. The reversal of 100938960 is 69839001.

It can be written as a sum of positive squares in 4 ways, for example, as 3640464 + 97298496 = 1908^2 + 9864^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 239550 + ... + 239970.

Almost surely, 2^100938960 is an apocalyptic number.

100938960 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 100938960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180453108).

100938960 is an abundant number, since it is smaller than the sum of its proper divisors (259967256).

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

100938960 is a wasteful number, since it uses less digits than its factorization.

100938960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 100938960 is about 10046.8383086422. The cubic root of 100938960 is about 465.6071154189.

The spelling of 100938960 in words is "one hundred million, nine hundred thirty-eight thousand, nine hundred sixty".