100084120 has 32 divisors (see below), whose sum is σ = 232456320. Its totient is φ = 38741760.

The previous prime is 100084111. The next prime is 100084121. The reversal of 100084120 is 21480001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100084094 and 100084103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100084121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39117 + ... + 41596.

It is an arithmetic number, because the mean of its divisors is an integer number (7264260).

Almost surely, 2^100084120 is an apocalyptic number.

100084120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100084120 is an abundant number, since it is smaller than the sum of its proper divisors (132372200).

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

100084120 is a wasteful number, since it uses less digits than its factorization.

100084120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80755 (or 80751 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 100084120 is about 10004.2051158500. The cubic root of 100084120 is about 464.2889970351.

The spelling of 100084120 in words is "one hundred million, eighty-four thousand, one hundred twenty".