100328532024 has 256 divisors, whose sum is σ = 303525273600. Its totient is φ = 27017768448.

The previous prime is 100328531977. The next prime is 100328532041. The reversal of 100328532024 is 420235823001.

It is a junction number, because it is equal to n+sod(n) for n = 100328531982 and 100328532000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 93852162 + ... + 93853230.

It is an arithmetic number, because the mean of its divisors is an integer number (1185645600).

Almost surely, 2^100328532024 is an apocalyptic number.

100328532024 is a gapful number since it is divisible by the number (14) 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 100328532024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151762636800).

100328532024 is an abundant number, since it is smaller than the sum of its proper divisors (203196741576).

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

100328532024 is a wasteful number, since it uses less digits than its factorization.

100328532024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1442 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 100328532024 in words is "one hundred billion, three hundred twenty-eight million, five hundred thirty-two thousand, twenty-four".