101506560656105 has 48 divisors (see below), whose sum is σ = 138211974480384. Its totient is φ = 71438975520000.

The previous prime is 101506560656077. The next prime is 101506560656153. The reversal of 101506560656105 is 501656065605101.

It is not a de Polignac number, because 101506560656105 - 2⁶ = 101506560656041 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101506560656105.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 621852950 + ... + 622016160.

It is an arithmetic number, because the mean of its divisors is an integer number (2879416135008).

Almost surely, 2^{101506560656105} is an apocalyptic number.

It is an amenable number.

101506560656105 is a deficient number, since it is larger than the sum of its proper divisors (36705413824279).

101506560656105 is a wasteful number, since it uses less digits than its factorization.

101506560656105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196430 (or 196419 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 47.

The spelling of 101506560656105 in words is "one hundred one trillion, five hundred six billion, five hundred sixty million, six hundred fifty-six thousand, one hundred five".