100580352 has 88 divisors (see below), whose sum is σ = 277573200. Its totient is φ = 32342016.

The previous prime is 100580341. The next prime is 100580353. The reversal of 100580352 is 253085001.

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

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100580353) 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, 88524 + ... + 89652.

Almost surely, 2^100580352 is an apocalyptic number.

100580352 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 100580352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138786600).

100580352 is an abundant number, since it is smaller than the sum of its proper divisors (176992848).

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

100580352 is a wasteful number, since it uses less digits than its factorization.

100580352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 100580352 is about 10028.9756206703. The cubic root of 100580352 is about 465.0550703652.

The spelling of 100580352 in words is "one hundred million, five hundred eighty thousand, three hundred fifty-two".