100985720 has 64 divisors (see below), whose sum is σ = 249056640. Its totient is φ = 36547200.

The previous prime is 100985713. The next prime is 100985749. The reversal of 100985720 is 27589001.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124115 + ... + 124925.

It is an arithmetic number, because the mean of its divisors is an integer number (3891510).

Almost surely, 2^100985720 is an apocalyptic number.

100985720 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 100985720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124528320).

100985720 is an abundant number, since it is smaller than the sum of its proper divisors (148070920).

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

100985720 is a wasteful number, since it uses less digits than its factorization.

100985720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 32.

The square root of 100985720 is about 10049.1651394531. The cubic root of 100985720 is about 465.6790018595.

The spelling of 100985720 in words is "one hundred million, nine hundred eighty-five thousand, seven hundred twenty".