100931040 has 576 divisors, whose sum is σ = 452874240. Its totient is φ = 19906560.

The previous prime is 100931029. The next prime is 100931069. The reversal of 100931040 is 40139001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3255825 + ... + 3255855.

It is an arithmetic number, because the mean of its divisors is an integer number (786240).

Almost surely, 2^100931040 is an apocalyptic number.

100931040 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 100931040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226437120).

100931040 is an abundant number, since it is smaller than the sum of its proper divisors (351943200).

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

100931040 is a wasteful number, since it uses less digits than its factorization.

100931040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 100931040 is about 10046.4441470602. Note that the first 3 decimals coincide. The cubic root of 100931040 is about 465.5949374162.

The spelling of 100931040 in words is "one hundred million, nine hundred thirty-one thousand, forty".