100475232 has 144 divisors (see below), whose sum is σ = 312113088. Its totient is φ = 28055040.

The previous prime is 100475213. The next prime is 100475257. The reversal of 100475232 is 232574001.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178183 + ... + 178745.

It is an arithmetic number, because the mean of its divisors is an integer number (2167452).

Almost surely, 2^100475232 is an apocalyptic number.

100475232 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 100475232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156056544).

100475232 is an abundant number, since it is smaller than the sum of its proper divisors (211637856).

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

100475232 is a wasteful number, since it uses less digits than its factorization.

100475232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 100475232 is about 10023.7334362003. The cubic root of 100475232 is about 464.8929988508.

The spelling of 100475232 in words is "one hundred million, four hundred seventy-five thousand, two hundred thirty-two".