101628900 has 54 divisors (see below), whose sum is σ = 318552962. Its totient is φ = 27100800.

The previous prime is 101628893. The next prime is 101628911. The reversal of 101628900 is 9826101.

It can be written as a sum of positive squares in 3 ways, for example, as 35141184 + 66487716 = 5928^2 + 8154^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 55561 + ... + 57360.

Almost surely, 2^101628900 is an apocalyptic number.

101628900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101628900 is an abundant number, since it is smaller than the sum of its proper divisors (216924062).

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

101628900 is a wasteful number, since it uses less digits than its factorization.

101628900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112941 (or 112931 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 101628900 is about 10081.1160096489. The cubic root of 101628900 is about 466.6655498839.

The spelling of 101628900 in words is "one hundred one million, six hundred twenty-eight thousand, nine hundred".