100632252 has 48 divisors (see below), whose sum is σ = 272045312. Its totient is φ = 28356480.

The previous prime is 100632251. The next prime is 100632269. The reversal of 100632252 is 252236001.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100632251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2074 + ... + 14337.

Almost surely, 2^100632252 is an apocalyptic number.

100632252 is a gapful number since it is divisible by the number (12) 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 100632252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136022656).

100632252 is an abundant number, since it is smaller than the sum of its proper divisors (171413060).

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

100632252 is a wasteful number, since it uses less digits than its factorization.

100632252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16498 (or 16496 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 100632252 is about 10031.5627895159. The cubic root of 100632252 is about 465.1350469125.

Adding to 100632252 its reverse (252236001), we get a palindrome (352868253).

The spelling of 100632252 in words is "one hundred million, six hundred thirty-two thousand, two hundred fifty-two".