101244960 has 72 divisors (see below), whose sum is σ = 345503340. Its totient is φ = 26998272.

The previous prime is 101244953. The next prime is 101244961. The reversal of 101244960 is 69442101.

It can be written as a sum of positive squares in 2 ways, for example, as 94711824 + 6533136 = 9732^2 + 2556^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (101244961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33715 + ... + 36594.

Almost surely, 2^101244960 is an apocalyptic number.

101244960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101244960 is an abundant number, since it is smaller than the sum of its proper divisors (244258380).

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

101244960 is a wasteful number, since it uses less digits than its factorization.

101244960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70330 (or 70319 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 101244960 is about 10062.0554560189. The cubic root of 101244960 is about 466.0771422083.

The spelling of 101244960 in words is "one hundred one million, two hundred forty-four thousand, nine hundred sixty".