102681360 has 120 divisors (see below), whose sum is σ = 365166360. Its totient is φ = 25767936.

The previous prime is 102681349. The next prime is 102681389. The reversal of 102681360 is 63186201.

It can be written as a sum of positive squares in 4 ways, for example, as 40144896 + 62536464 = 6336^2 + 7908^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8046 + ... + 16434.

It is an arithmetic number, because the mean of its divisors is an integer number (3043053).

Almost surely, 2^102681360 is an apocalyptic number.

102681360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102681360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182583180).

102681360 is an abundant number, since it is smaller than the sum of its proper divisors (262485000).

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

102681360 is a wasteful number, since it uses less digits than its factorization.

102681360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8425 (or 8416 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 102681360 is about 10133.1811392080. The cubic root of 102681360 is about 468.2709366966.

It can be divided in two parts, 102681 and 360, that added together give a square (103041 = 321²).

The spelling of 102681360 in words is "one hundred two million, six hundred eighty-one thousand, three hundred sixty".