10217637165 has 16 divisors (see below), whose sum is σ = 16356125376. Its totient is φ = 5446771200.

The previous prime is 10217637161. The next prime is 10217637197. The reversal of 10217637165 is 56173671201.

It is not a de Polignac number, because 10217637165 - 2² = 10217637161 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10217637161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132451 + ... + 194880.

It is an arithmetic number, because the mean of its divisors is an integer number (1022257836).

Almost surely, 2^10217637165 is an apocalyptic number.

10217637165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10217637165 is a deficient number, since it is larger than the sum of its proper divisors (6138488211).

10217637165 is a wasteful number, since it uses less digits than its factorization.

10217637165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329420.

The product of its (nonzero) digits is 52920, while the sum is 39.

It can be divided in two parts, 1021 and 7637165, that added together give a triangular number (7638186 = T₃₉₀₈).

The spelling of 10217637165 in words is "ten billion, two hundred seventeen million, six hundred thirty-seven thousand, one hundred sixty-five".