100956420 has 36 divisors (see below), whose sum is σ = 306235020. Its totient is φ = 26921664.

The previous prime is 100956419. The next prime is 100956431. The reversal of 100956420 is 24659001.

100956420 is a `hidden beast` number, since 10 + 0 + 9 + 5 + 642 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14243076 + 86713344 = 3774^2 + 9312^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 280255 + ... + 280614.

Almost surely, 2^100956420 is an apocalyptic number.

100956420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100956420 is an abundant number, since it is smaller than the sum of its proper divisors (205278600).

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

100956420 is a wasteful number, since it uses less digits than its factorization.

100956420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560884 (or 560879 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 100956420 is about 10047.7072011479. The cubic root of 100956420 is about 465.6339601297.

The spelling of 100956420 in words is "one hundred million, nine hundred fifty-six thousand, four hundred twenty".