102117765 has 16 divisors (see below), whose sum is σ = 163526400. Its totient is φ = 54416832.

The previous prime is 102117739. The next prime is 102117773. The reversal of 102117765 is 567711201.

It is not a de Polignac number, because 102117765 - 2⁷ = 102117637 is a prime.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 22996 + ... + 27074.

It is an arithmetic number, because the mean of its divisors is an integer number (10220400).

Almost surely, 2^102117765 is an apocalyptic number.

102117765 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102117765 is a deficient number, since it is larger than the sum of its proper divisors (61408635).

102117765 is a wasteful number, since it uses less digits than its factorization.

102117765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5756.

The product of its (nonzero) digits is 2940, while the sum is 30.

The square root of 102117765 is about 10105.3334927651. Note that the first 3 decimals coincide. The cubic root of 102117765 is about 467.4126196225.

Adding to 102117765 its reverse (567711201), we get a palindrome (669828966).

The spelling of 102117765 in words is "one hundred two million, one hundred seventeen thousand, seven hundred sixty-five".