100720984 has 64 divisors (see below), whose sum is σ = 239984640. Its totient is φ = 38551680.

The previous prime is 100720951. The next prime is 100720999. The reversal of 100720984 is 489027001.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20337 + ... + 24799.

It is an arithmetic number, because the mean of its divisors is an integer number (3749760).

Almost surely, 2^100720984 is an apocalyptic number.

100720984 is a gapful number since it is divisible by the number (14) 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 100720984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119992320).

100720984 is an abundant number, since it is smaller than the sum of its proper divisors (139263656).

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

100720984 is a wasteful number, since it uses less digits than its factorization.

100720984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4520 (or 4516 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 100720984 is about 10035.9844559465. The cubic root of 100720984 is about 465.2717169414.

Adding to 100720984 its reverse (489027001), we get a palindrome (589747985).

The spelling of 100720984 in words is "one hundred million, seven hundred twenty thousand, nine hundred eighty-four".