100987280 has 120 divisors (see below), whose sum is σ = 259209600. Its totient is φ = 36481536.

The previous prime is 100987241. The next prime is 100987297. The reversal of 100987280 is 82789001.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 100987280.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1278281 + ... + 1278359.

It is an arithmetic number, because the mean of its divisors is an integer number (2160080).

Almost surely, 2^100987280 is an apocalyptic number.

100987280 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 100987280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129604800).

100987280 is an abundant number, since it is smaller than the sum of its proper divisors (158222320).

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

100987280 is a wasteful number, since it uses less digits than its factorization.

100987280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 35.

The square root of 100987280 is about 10049.2427575415. The cubic root of 100987280 is about 465.6813997415.

The spelling of 100987280 in words is "one hundred million, nine hundred eighty-seven thousand, two hundred eighty".