100711920 has 80 divisors (see below), whose sum is σ = 313720992. Its totient is φ = 26726400.

The previous prime is 100711909. The next prime is 100711939. The reversal of 100711920 is 29117001.

It is a tau number, because it is divible by the number of its divisors (80).

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, 55020 + ... + 56820.

Almost surely, 2^100711920 is an apocalyptic number.

100711920 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 100711920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156860496).

100711920 is an abundant number, since it is smaller than the sum of its proper divisors (213009072).

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

100711920 is a wasteful number, since it uses less digits than its factorization.

100711920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2050 (or 2044 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 21.

The square root of 100711920 is about 10035.5328707548. The cubic root of 100711920 is about 465.2577597394.

Adding to 100711920 its reverse (29117001), we get a palindrome (129828921).

The spelling of 100711920 in words is "one hundred million, seven hundred eleven thousand, nine hundred twenty".