102126165 has 32 divisors (see below), whose sum is σ = 166458240. Its totient is φ = 53458944.

The previous prime is 102126163. The next prime is 102126209. The reversal of 102126165 is 561621201.

It is not a de Polignac number, because 102126165 - 2¹ = 102126163 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102126163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 302877 + ... + 303213.

It is an arithmetic number, because the mean of its divisors is an integer number (5201820).

Almost surely, 2^102126165 is an apocalyptic number.

102126165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102126165 is a deficient number, since it is larger than the sum of its proper divisors (64332075).

102126165 is a wasteful number, since it uses less digits than its factorization.

102126165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661.

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 102126165 is about 10105.7491063256. The cubic root of 102126165 is about 467.4254354088.

Adding to 102126165 its reverse (561621201), we get a palindrome (663747366).

The spelling of 102126165 in words is "one hundred two million, one hundred twenty-six thousand, one hundred sixty-five".