101872960 has 168 divisors, whose sum is σ = 289270440. Its totient is φ = 34062336.

The previous prime is 101872933. The next prime is 101872973. The reversal of 101872960 is 69278101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3625216 + 98247744 = 1904^2 + 9912^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1144596 + ... + 1144684.

Almost surely, 2^101872960 is an apocalyptic number.

101872960 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 101872960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144635220).

101872960 is an abundant number, since it is smaller than the sum of its proper divisors (187397480).

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

101872960 is an equidigital number, since it uses as much as digits as its factorization.

101872960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 34.

The square root of 101872960 is about 10093.2135615967. The cubic root of 101872960 is about 467.0388142597.

The spelling of 101872960 in words is "one hundred one million, eight hundred seventy-two thousand, nine hundred sixty".