100125632 has 56 divisors (see below), whose sum is σ = 208635600. Its totient is φ = 47609856.

The previous prime is 100125587. The next prime is 100125637. The reversal of 100125632 is 236521001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100125637) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 135119 + ... + 135857.

Almost surely, 2^100125632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100125632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104317800).

100125632 is an abundant number, since it is smaller than the sum of its proper divisors (108509968).

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

100125632 is an equidigital number, since it uses as much as digits as its factorization.

100125632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 100125632 is about 10006.2796283134. The cubic root of 100125632 is about 464.3531793808.

Adding to 100125632 its reverse (236521001), we get a palindrome (336646633).

The spelling of 100125632 in words is "one hundred million, one hundred twenty-five thousand, six hundred thirty-two".