102682755 has 64 divisors (see below), whose sum is σ = 210078720. Its totient is φ = 46614528.

The previous prime is 102682747. The next prime is 102682759. The reversal of 102682755 is 557286201.

It is a happy number.

It is not a de Polignac number, because 102682755 - 2³ = 102682747 is a prime.

It is a super-3 number, since 3×102682755³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (102682759) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 182104 + ... + 182666.

It is an arithmetic number, because the mean of its divisors is an integer number (3282480).

Almost surely, 2^102682755 is an apocalyptic number.

102682755 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

102682755 is the 5067-th decagonal number.

102682755 is an abundant number, since it is smaller than the sum of its proper divisors (107395965).

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

102682755 is a wasteful number, since it uses less digits than its factorization.

102682755 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 102682755 is about 10133.2499722448. The cubic root of 102682755 is about 468.2730572860.

The spelling of 102682755 in words is "one hundred two million, six hundred eighty-two thousand, seven hundred fifty-five".