102117764 has 18 divisors (see below), whose sum is σ = 207882990. Its totient is φ = 43764672.

The previous prime is 102117739. The next prime is 102117773. The reversal of 102117764 is 467711201.

It can be written as a sum of positive squares in only one way, i.e., 82047364 + 20070400 = 9058^2 + 4480^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 260309 + ... + 260700.

It is an arithmetic number, because the mean of its divisors is an integer number (11549055).

Almost surely, 2^102117764 is an apocalyptic number.

102117764 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

102117764 is an abundant number, since it is smaller than the sum of its proper divisors (105765226).

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

102117764 is a wasteful number, since it uses less digits than its factorization.

102117764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521027 (or 521018 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 29.

The square root of 102117764 is about 10105.3334432863. Note that the first 3 decimals coincide. The cubic root of 102117764 is about 467.4126180968.

Adding to 102117764 its reverse (467711201), we get a palindrome (569828965).

The spelling of 102117764 in words is "one hundred two million, one hundred seventeen thousand, seven hundred sixty-four".