108002565 has 48 divisors (see below), whose sum is σ = 211813056. Its totient is φ = 52358400.

The previous prime is 108002563. The next prime is 108002567. The reversal of 108002565 is 565200801.

It is an interprime number because it is at equal distance from previous prime (108002563) and next prime (108002567).

It is not a de Polignac number, because 108002565 - 2¹ = 108002563 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108002561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9325 + ... + 17405.

It is an arithmetic number, because the mean of its divisors is an integer number (4412772).

Almost surely, 2^108002565 is an apocalyptic number.

108002565 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

108002565 is a deficient number, since it is larger than the sum of its proper divisors (103810491).

108002565 is an equidigital number, since it uses as much as digits as its factorization.

108002565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8112 (or 8100 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 108002565 is about 10392.4282533006. The cubic root of 108002565 is about 476.2240856381.

The spelling of 108002565 in words is "one hundred eight million, two thousand, five hundred sixty-five".