101920160 has 24 divisors (see below), whose sum is σ = 240786756. Its totient is φ = 40768000.

The previous prime is 101920139. The next prime is 101920171. The reversal of 101920160 is 61029101.

It can be written as a sum of positive squares in 2 ways, for example, as 101525776 + 394384 = 10076^2 + 628^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 3 ways as a sum of consecutive naturals, for example, 318341 + ... + 318660.

Almost surely, 2^101920160 is an apocalyptic number.

101920160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101920160 is an abundant number, since it is smaller than the sum of its proper divisors (138866596).

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

101920160 is an equidigital number, since it uses as much as digits as its factorization.

101920160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637016 (or 637008 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 20.

The square root of 101920160 is about 10095.5514955846. The cubic root of 101920160 is about 467.1109329338.

Adding to 101920160 its reverse (61029101), we get a palindrome (162949261).

The spelling of 101920160 in words is "one hundred one million, nine hundred twenty thousand, one hundred sixty".