101659306085 has 16 divisors (see below), whose sum is σ = 122460390000. Its totient is φ = 81014770176.

The previous prime is 101659306037. The next prime is 101659306093. The reversal of 101659306085 is 580603956101.

It can be written as a sum of positive squares in 8 ways, for example, as 26345834596 + 75313471489 = 162314^2 + 274433^2 .

It is a cyclic number.

It is not a de Polignac number, because 101659306085 - 2³² = 97364338789 is a prime.

It is a super-2 number, since 2×101659306085² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10422791 + ... + 10432539.

It is an arithmetic number, because the mean of its divisors is an integer number (7653774375).

Almost surely, 2^101659306085 is an apocalyptic number.

It is an amenable number.

101659306085 is a deficient number, since it is larger than the sum of its proper divisors (20801083915).

101659306085 is an equidigital number, since it uses as much as digits as its factorization.

101659306085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17560.

The product of its (nonzero) digits is 194400, while the sum is 44.

The spelling of 101659306085 in words is "one hundred one billion, six hundred fifty-nine million, three hundred six thousand, eighty-five".