100580480 has 256 divisors, whose sum is σ = 324898560. Its totient is φ = 28753920.

The previous prime is 100580453. The next prime is 100580489. The reversal of 100580480 is 84085001.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100580489) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 640562 + ... + 640718.

It is an arithmetic number, because the mean of its divisors is an integer number (1269135).

Almost surely, 2^100580480 is an apocalyptic number.

100580480 is a gapful number since it is divisible by the number (10) 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 100580480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162449280).

100580480 is an abundant number, since it is smaller than the sum of its proper divisors (224318080).

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

100580480 is a wasteful number, since it uses less digits than its factorization.

100580480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

The square root of 100580480 is about 10028.9820021775. The cubic root of 100580480 is about 465.0552676437.

The spelling of 100580480 in words is "one hundred million, five hundred eighty thousand, four hundred eighty".