100872432 has 80 divisors (see below), whose sum is σ = 292481280. Its totient is φ = 33283008.

The previous prime is 100872403. The next prime is 100872449. The reversal of 100872432 is 234278001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 100872396 and 100872405.

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, 43363 + ... + 45629.

It is an arithmetic number, because the mean of its divisors is an integer number (3656016).

Almost surely, 2^100872432 is an apocalyptic number.

100872432 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 100872432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146240640).

100872432 is an abundant number, since it is smaller than the sum of its proper divisors (191608848).

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

100872432 is a wasteful number, since it uses less digits than its factorization.

100872432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2387 (or 2375 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 100872432 is about 10043.5268705769. The cubic root of 100872432 is about 465.5048003895.

The spelling of 100872432 in words is "one hundred million, eight hundred seventy-two thousand, four hundred thirty-two".