100720872 has 72 divisors (see below), whose sum is σ = 317333250. Its totient is φ = 28776384.

The previous prime is 100720831. The next prime is 100720877. The reversal of 100720872 is 278027001.

It can be written as a sum of positive squares in only one way, i.e., 95765796 + 4955076 = 9786^2 + 2226^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (100720877) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10747 + ... + 17802.

Almost surely, 2^100720872 is an apocalyptic number.

100720872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100720872 is an abundant number, since it is smaller than the sum of its proper divisors (216612378).

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

100720872 is a wasteful number, since it uses less digits than its factorization.

100720872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28575 (or 28561 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 100720872 is about 10035.9788760240. The cubic root of 100720872 is about 465.2715444833.

Adding to 100720872 its reverse (278027001), we get a palindrome (378747873).

The spelling of 100720872 in words is "one hundred million, seven hundred twenty thousand, eight hundred seventy-two".