100780032 has 96 divisors (see below), whose sum is σ = 275184000. Its totient is φ = 32784384.

The previous prime is 100780021. The next prime is 100780033. The reversal of 100780032 is 230087001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×100780032² = 20313229699842048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100779990 and 100780008.

It is not an unprimeable number, because it can be changed into a prime (100780033) 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, 288594 + ... + 288942.

It is an arithmetic number, because the mean of its divisors is an integer number (2866500).

Almost surely, 2^100780032 is an apocalyptic number.

100780032 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 100780032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137592000).

100780032 is an abundant number, since it is smaller than the sum of its proper divisors (174403968).

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

100780032 is an equidigital number, since it uses as much as digits as its factorization.

100780032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 100780032 is about 10038.9258389531. The cubic root of 100780032 is about 465.3626215249.

The spelling of 100780032 in words is "one hundred million, seven hundred eighty thousand, thirty-two".