101256516 has 36 divisors (see below), whose sum is σ = 264782700. Its totient is φ = 32587968.

The previous prime is 101256481. The next prime is 101256517. The reversal of 101256516 is 615652101.

It is a happy number.

101256516 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 5 + 651 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 48024900 + 53231616 = 6930^2 + 7296^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 101256516.

It is not an unprimeable number, because it can be changed into a prime (101256517) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47451 + ... + 49538.

It is an arithmetic number, because the mean of its divisors is an integer number (7355075).

Almost surely, 2^101256516 is an apocalyptic number.

It is an amenable number.

101256516 is an abundant number, since it is smaller than the sum of its proper divisors (163526184).

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

101256516 is a wasteful number, since it uses less digits than its factorization.

101256516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97028 (or 97023 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 101256516 is about 10062.6296761831. The cubic root of 101256516 is about 466.0948740623.

It can be divided in two parts, 10125 and 6516, that added together give a square (16641 = 129²).

The spelling of 101256516 in words is "one hundred one million, two hundred fifty-six thousand, five hundred sixteen".