102813120 has 168 divisors, whose sum is σ = 366125760. Its totient is φ = 26449920.

The previous prime is 102813119. The next prime is 102813131. The reversal of 102813120 is 21318201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102813093 and 102813102.

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, 82905 + ... + 84135.

It is an arithmetic number, because the mean of its divisors is an integer number (2179320).

Almost surely, 2^102813120 is an apocalyptic number.

102813120 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 102813120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183062880).

102813120 is an abundant number, since it is smaller than the sum of its proper divisors (263312640).

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

102813120 is a wasteful number, since it uses less digits than its factorization.

102813120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1283 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 102813120 is about 10139.6804683382. The cubic root of 102813120 is about 468.4711450781.

The spelling of 102813120 in words is "one hundred two million, eight hundred thirteen thousand, one hundred twenty".