101971264 has 28 divisors (see below), whose sum is σ = 207289908. Its totient is φ = 49740800.

The previous prime is 101971249. The next prime is 101971273. The reversal of 101971264 is 462179101.

It can be written as a sum of positive squares in 2 ways, for example, as 44089600 + 57881664 = 6640^2 + 7608^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16807 + ... + 22054.

It is an arithmetic number, because the mean of its divisors is an integer number (7403211).

Almost surely, 2^101971264 is an apocalyptic number.

It is an amenable number.

101971264 is an abundant number, since it is smaller than the sum of its proper divisors (105318644).

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

101971264 is an equidigital number, since it uses as much as digits as its factorization.

101971264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38914 (or 38904 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 31.

The square root of 101971264 is about 10098.0821941594. The cubic root of 101971264 is about 467.1889915777.

The spelling of 101971264 in words is "one hundred one million, nine hundred seventy-one thousand, two hundred sixty-four".