100802120 has 32 divisors (see below), whose sum is σ = 227172600. Its totient is φ = 40255488.

The previous prime is 100802099. The next prime is 100802161. The reversal of 100802120 is 21208001.

It can be written as a sum of positive squares in 4 ways, for example, as 80964004 + 19838116 = 8998^2 + 4454^2 .

It is a super-2 number, since 2×100802120² = 20322134792988800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100802095 and 100802104.

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, 28616 + ... + 31944.

Almost surely, 2^100802120 is an apocalyptic number.

100802120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100802120 is an abundant number, since it is smaller than the sum of its proper divisors (126370480).

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

100802120 is a wasteful number, since it uses less digits than its factorization.

100802120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4097 (or 4093 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 100802120 is about 10040.0258963809. The cubic root of 100802120 is about 465.3966169455.

The spelling of 100802120 in words is "one hundred million, eight hundred two thousand, one hundred twenty".