102813960 has 128 divisors (see below), whose sum is σ = 330480000. Its totient is φ = 25497600.

The previous prime is 102813929. The next prime is 102814001. The reversal of 102813960 is 69318201.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 205791 + ... + 206289.

It is an arithmetic number, because the mean of its divisors is an integer number (2581875).

Almost surely, 2^102813960 is an apocalyptic number.

102813960 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 102813960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165240000).

102813960 is an abundant number, since it is smaller than the sum of its proper divisors (227666040).

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

102813960 is a wasteful number, since it uses less digits than its factorization.

102813960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 102813960 is about 10139.7218896773. The cubic root of 102813960 is about 468.4724209032.

It can be divided in two parts, 10281 and 3960, that added together give a palindrome (14241).

The spelling of 102813960 in words is "one hundred two million, eight hundred thirteen thousand, nine hundred sixty".