100024032 has 48 divisors (see below), whose sum is σ = 266499072. Its totient is φ = 32841600.

The previous prime is 100024031. The next prime is 100024049. The reversal of 100024032 is 230420001.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100023999 and 100024017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100024031) 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, 1344 + ... + 14207.

It is an arithmetic number, because the mean of its divisors is an integer number (5552064).

Almost surely, 2^100024032 is an apocalyptic number.

100024032 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 100024032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133249536).

100024032 is an abundant number, since it is smaller than the sum of its proper divisors (166475040).

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

100024032 is a wasteful number, since it uses less digits than its factorization.

100024032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15631 (or 15623 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 100024032 is about 10001.2015278165. The cubic root of 100024032 is about 464.1960626041.

Adding to 100024032 its reverse (230420001), we get a palindrome (330444033).

The spelling of 100024032 in words is "one hundred million, twenty-four thousand, thirty-two".