100083720 has 64 divisors (see below), whose sum is σ = 327551040. Its totient is φ = 24262400.

The previous prime is 100083707. The next prime is 100083721. The reversal of 100083720 is 27380001.

It is not an unprimeable number, because it can be changed into a prime (100083721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36591 + ... + 39230.

It is an arithmetic number, because the mean of its divisors is an integer number (5117985).

Almost surely, 2^100083720 is an apocalyptic number.

100083720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100083720 is an abundant number, since it is smaller than the sum of its proper divisors (227467320).

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

100083720 is a wasteful number, since it uses less digits than its factorization.

100083720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75846 (or 75842 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 100083720 is about 10004.1851242368. The cubic root of 100083720 is about 464.2883785026.

The spelling of 100083720 in words is "one hundred million, eighty-three thousand, seven hundred twenty".