100077628 has 12 divisors (see below), whose sum is σ = 200155312. Its totient is φ = 42890400.

The previous prime is 100077611. The next prime is 100077631. The reversal of 100077628 is 826770001.

It is a happy number.

100077628 is an admirable number.

It is a super-2 number, since 2×100077628² = 20031063252212768, which contains 22 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 100077628.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1787073 + ... + 1787128.

Almost surely, 2^100077628 is an apocalyptic number.

It is an amenable number.

100077628 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

100077628 is a wasteful number, since it uses less digits than its factorization.

100077628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3574212 (or 3574210 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 31.

The square root of 100077628 is about 10003.8806470289. The cubic root of 100077628 is about 464.2789580488.

The spelling of 100077628 in words is "one hundred million, seventy-seven thousand, six hundred twenty-eight".