101520460447705 has 32 divisors (see below), whose sum is σ = 133390899936000. Its totient is φ = 73715359322880.

The previous prime is 101520460447591. The next prime is 101520460447793. The reversal of 101520460447705 is 507744064025101.

It is not a de Polignac number, because 101520460447705 - 2¹⁷ = 101520460316633 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7622254 + ... + 16159816.

It is an arithmetic number, because the mean of its divisors is an integer number (4168465623000).

Almost surely, 2^{101520460447705} is an apocalyptic number.

It is an amenable number.

101520460447705 is a deficient number, since it is larger than the sum of its proper divisors (31870439488295).

101520460447705 is a wasteful number, since it uses less digits than its factorization.

101520460447705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8540641.

The product of its (nonzero) digits is 940800, while the sum is 46.

The spelling of 101520460447705 in words is "one hundred one trillion, five hundred twenty billion, four hundred sixty million, four hundred forty-seven thousand, seven hundred five".