5100165 has 60 divisors (see below), whose sum is σ = 10676556. Its totient is φ = 2322432.

The previous prime is 5100157. The next prime is 5100167. The reversal of 5100165 is 5610015.

5100165 = T₇₁ + T₇₂ + ... + T₃₁₃.

It can be written as a sum of positive squares in 2 ways, for example, as 3814209 + 1285956 = 1953^2 + 1134^2 .

It is not a de Polignac number, because 5100165 - 2³ = 5100157 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5100167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 19717 + ... + 19973.

Almost surely, 2^5100165 is an apocalyptic number.

It is an amenable number.

5100165 is an abundant number, since it is smaller than the sum of its proper divisors (5576391).

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

5100165 is a wasteful number, since it uses less digits than its factorization.

5100165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 5100165 is about 2258.3544894458. The cubic root of 5100165 is about 172.1319183572.

Subtracting from 5100165 its product of nonzero digits (150), we obtain a palindrome (5100015).

The spelling of 5100165 in words is "five million, one hundred thousand, one hundred sixty-five".