101232900 has 54 divisors (see below), whose sum is σ = 317311722. Its totient is φ = 26995200.

The previous prime is 101232899. The next prime is 101232917. The reversal of 101232900 is 9232101.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 31877316 + 69355584 = 5646^2 + 8328^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 55341 + ... + 57140.

It is an arithmetic number, because the mean of its divisors is an integer number (5876143).

Almost surely, 2^101232900 is an apocalyptic number.

101232900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101232900 is an abundant number, since it is smaller than the sum of its proper divisors (216078822).

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

101232900 is a wasteful number, since it uses less digits than its factorization.

101232900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112501 (or 112491 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 101232900 is about 10061.4561570381. The cubic root of 101232900 is about 466.0586355635.

The spelling of 101232900 in words is "one hundred one million, two hundred thirty-two thousand, nine hundred".