101087272 has 96 divisors (see below), whose sum is σ = 232936200. Its totient is φ = 40803840.

The previous prime is 101087269. The next prime is 101087291. The reversal of 101087272 is 272780101.

It can be written as a sum of positive squares in 4 ways, for example, as 53670276 + 47416996 = 7326^2 + 6886^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 101087272.

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, 364798 + ... + 365074.

Almost surely, 2^101087272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101087272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116468100).

101087272 is an abundant number, since it is smaller than the sum of its proper divisors (131848928).

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

101087272 is a wasteful number, since it uses less digits than its factorization.

101087272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 28.

The square root of 101087272 is about 10054.2166278632. The cubic root of 101087272 is about 465.8350463343.

The spelling of 101087272 in words is "one hundred one million, eighty-seven thousand, two hundred seventy-two".