100082124 has 36 divisors (see below), whose sum is σ = 256457656. Its totient is φ = 32902848.

The previous prime is 100082123. The next prime is 100082141. The reversal of 100082124 is 421280001.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 100082097 and 100082106.

It is not an unprimeable number, because it can be changed into a prime (100082123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16414 + ... + 21669.

Almost surely, 2^100082124 is an apocalyptic number.

It is an amenable number.

100082124 is an abundant number, since it is smaller than the sum of its proper divisors (156375532).

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

100082124 is a wasteful number, since it uses less digits than its factorization.

100082124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38166 (or 38161 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 100082124 is about 10004.1053573021. The cubic root of 100082124 is about 464.2859105415.

The spelling of 100082124 in words is "one hundred million, eighty-two thousand, one hundred twenty-four".