101088144 has 60 divisors (see below), whose sum is σ = 290567836. Its totient is φ = 32783616.

The previous prime is 101088139. The next prime is 101088161. The reversal of 101088144 is 441880101.

It can be written as a sum of positive squares in 2 ways, for example, as 65804544 + 35283600 = 8112^2 + 5940^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4159 + ... + 14814.

Almost surely, 2^101088144 is an apocalyptic number.

It is an amenable number.

101088144 is an abundant number, since it is smaller than the sum of its proper divisors (189479692).

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

101088144 is a wasteful number, since it uses less digits than its factorization.

101088144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19024 (or 19015 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 101088144 is about 10054.2599926598. The cubic root of 101088144 is about 465.8363857940.

The spelling of 101088144 in words is "one hundred one million, eighty-eight thousand, one hundred forty-four".