10206577232075 has 48 divisors (see below), whose sum is σ = 14642812800000. Its totient is φ = 6912409969920.

The previous prime is 10206577232029. The next prime is 10206577232081. The reversal of 10206577232075 is 57023277560201.

It is not a de Polignac number, because 10206577232075 - 2²⁰ = 10206576183499 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49383551 + ... + 49589799.

It is an arithmetic number, because the mean of its divisors is an integer number (305058600000).

Almost surely, 2^{10206577232075} is an apocalyptic number.

10206577232075 is a deficient number, since it is larger than the sum of its proper divisors (4436235567925).

10206577232075 is a wasteful number, since it uses less digits than its factorization.

10206577232075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209756 (or 209751 counting only the distinct ones).

The product of its (nonzero) digits is 1234800, while the sum is 47.

The spelling of 10206577232075 in words is "ten trillion, two hundred six billion, five hundred seventy-seven million, two hundred thirty-two thousand, seventy-five".