100132656 has 80 divisors (see below), whose sum is σ = 286169184. Its totient is φ = 29970432.

The previous prime is 100132631. The next prime is 100132657. The reversal of 100132656 is 656231001.

It is a super-2 number, since 2×100132656² = 20053097595228672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (100132657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20920 + ... + 25256.

Almost surely, 2^100132656 is an apocalyptic number.

100132656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100132656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143084592).

100132656 is an abundant number, since it is smaller than the sum of its proper divisors (186036528).

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

100132656 is a wasteful number, since it uses less digits than its factorization.

100132656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4398 (or 4392 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 100132656 is about 10006.6306017560. The cubic root of 100132656 is about 464.3640375410.

Adding to 100132656 its reverse (656231001), we get a palindrome (756363657).

The spelling of 100132656 in words is "one hundred million, one hundred thirty-two thousand, six hundred fifty-six".