102605532144165 has 12 divisors (see below), whose sum is σ = 177849589049964. Its totient is φ = 54722950476864.

The previous prime is 102605532144161. The next prime is 102605532144173. The reversal of 102605532144165 is 561441235506201.

102605532144165 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 0 + 5 + 532 + 14 + 41 + 65 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 66044861986401 + 36560670157764 = 8126799^2 + 6046542^2 .

It is not a de Polignac number, because 102605532144165 - 2² = 102605532144161 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 2280122936537 = 102605532144165 / (1 + 0 + 2 + 6 + 0 + 5 + 5 + 3 + 2 + 1 + 4 + 4 + 1 + 6 + 5).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 102605532144165.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102605532144161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1140061468224 + ... + 1140061468313.

It is an arithmetic number, because the mean of its divisors is an integer number (14820799087497).

Almost surely, 2^{102605532144165} is an apocalyptic number.

102605532144165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102605532144165 is a deficient number, since it is larger than the sum of its proper divisors (75244056905799).

102605532144165 is a wasteful number, since it uses less digits than its factorization.

102605532144165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2280122936548 (or 2280122936545 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 102605532144165 in words is "one hundred two trillion, six hundred five billion, five hundred thirty-two million, one hundred forty-four thousand, one hundred sixty-five".