100986080 has 96 divisors (see below), whose sum is σ = 262652544. Its totient is φ = 36458496.

The previous prime is 100986079. The next prime is 100986101. The reversal of 100986080 is 80689001.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97244 + ... + 98276.

It is an arithmetic number, because the mean of its divisors is an integer number (2735964).

Almost surely, 2^100986080 is an apocalyptic number.

100986080 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 100986080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131326272).

100986080 is an abundant number, since it is smaller than the sum of its proper divisors (161666464).

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

100986080 is a wasteful number, since it uses less digits than its factorization.

100986080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 32.

The square root of 100986080 is about 10049.1830513729. The cubic root of 100986080 is about 465.6795552191.

The spelling of 100986080 in words is "one hundred million, nine hundred eighty-six thousand, eighty".