101256641 has 12 divisors (see below), whose sum is σ = 108659580. Its totient is φ = 94329600.

The previous prime is 101256629. The next prime is 101256671. The reversal of 101256641 is 146652101.

It can be written as a sum of positive squares in 6 ways, for example, as 7728400 + 93528241 = 2780^2 + 9671^2 .

It is not a de Polignac number, because 101256641 - 2¹⁴ = 101240257 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101256641.

It is not an unprimeable number, because it can be changed into a prime (101256601) 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, 27455 + ... + 30923.

It is an arithmetic number, because the mean of its divisors is an integer number (9054965).

Almost surely, 2^101256641 is an apocalyptic number.

It is an amenable number.

101256641 is a deficient number, since it is larger than the sum of its proper divisors (7402939).

101256641 is a wasteful number, since it uses less digits than its factorization.

101256641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3604 (or 3587 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 101256641 is about 10062.6358872812. The cubic root of 101256641 is about 466.0950658585.

The spelling of 101256641 in words is "one hundred one million, two hundred fifty-six thousand, six hundred forty-one".