101666565 has 192 divisors, whose sum is σ = 246984192. Its totient is φ = 37324800.

The previous prime is 101666563. The next prime is 101666603. The reversal of 101666565 is 565666101.

It is not a de Polignac number, because 101666565 - 2¹ = 101666563 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101666563) 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 191 ways as a sum of consecutive naturals, for example, 1666635 + ... + 1666695.

It is an arithmetic number, because the mean of its divisors is an integer number (1286376).

Almost surely, 2^101666565 is an apocalyptic number.

101666565 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101666565 is an abundant number, since it is smaller than the sum of its proper divisors (145317627).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101666565 is a wasteful number, since it uses less digits than its factorization.

101666565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 101666565 is about 10082.9839333404. The cubic root of 101666565 is about 466.7231935495.

It can be divided in two parts, 101 and 666565, that added together give a palindrome (666666).

The spelling of 101666565 in words is "one hundred one million, six hundred sixty-six thousand, five hundred sixty-five".