100083408 has 40 divisors (see below), whose sum is σ = 267468000. Its totient is φ = 32210304.

The previous prime is 100083397. The next prime is 100083421. The reversal of 100083408 is 804380001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34558 + ... + 37341.

It is an arithmetic number, because the mean of its divisors is an integer number (6686700).

Almost surely, 2^100083408 is an apocalyptic number.

It is an amenable number.

100083408 is an abundant number, since it is smaller than the sum of its proper divisors (167384592).

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

100083408 is a wasteful number, since it uses less digits than its factorization.

100083408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71939 (or 71933 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 100083408 is about 10004.1695307507. The cubic root of 100083408 is about 464.2878960461.

The spelling of 100083408 in words is "one hundred million, eighty-three thousand, four hundred eight".