102007165 has 32 divisors (see below), whose sum is σ = 136402560. Its totient is φ = 72762624.

The previous prime is 102007159. The next prime is 102007177. The reversal of 102007165 is 561700201.

It is a cyclic number.

It is not a de Polignac number, because 102007165 - 2⁵ = 102007133 is a prime.

It is a super-2 number, since 2×102007165² = 20810923422674450, which 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 31 ways as a sum of consecutive naturals, for example, 256747 + ... + 257143.

It is an arithmetic number, because the mean of its divisors is an integer number (4262580).

Almost surely, 2^102007165 is an apocalyptic number.

It is an amenable number.

102007165 is a deficient number, since it is larger than the sum of its proper divisors (34395395).

102007165 is a wasteful number, since it uses less digits than its factorization.

102007165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541.

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 102007165 is about 10099.8596524902. The cubic root of 102007165 is about 467.2438128524.

Adding to 102007165 its reverse (561700201), we get a palindrome (663707366).

The spelling of 102007165 in words is "one hundred two million, seven thousand, one hundred sixty-five".