100432632 has 64 divisors (see below), whose sum is σ = 268848000. Its totient is φ = 31169664.

The previous prime is 100432523. The next prime is 100432681. The reversal of 100432632 is 236234001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100432599 and 100432608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25038 + ... + 28770.

It is an arithmetic number, because the mean of its divisors is an integer number (4200750).

Almost surely, 2^100432632 is an apocalyptic number.

100432632 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 100432632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134424000).

100432632 is an abundant number, since it is smaller than the sum of its proper divisors (168415368).

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

100432632 is a wasteful number, since it uses less digits than its factorization.

100432632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3820 (or 3816 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 100432632 is about 10021.6082541676. The cubic root of 100432632 is about 464.8272869967.

Adding to 100432632 its reverse (236234001), we get a palindrome (336666633).

The spelling of 100432632 in words is "one hundred million, four hundred thirty-two thousand, six hundred thirty-two".