102813312 has 128 divisors (see below), whose sum is σ = 325877760. Its totient is φ = 28081152.

The previous prime is 102813311. The next prime is 102813349. The reversal of 102813312 is 213318201.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (102813311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60993 + ... + 62655.

It is an arithmetic number, because the mean of its divisors is an integer number (2545920).

Almost surely, 2^102813312 is an apocalyptic number.

102813312 is a gapful number since it is divisible by the number (12) 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 102813312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162938880).

102813312 is an abundant number, since it is smaller than the sum of its proper divisors (223064448).

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

102813312 is a wasteful number, since it uses less digits than its factorization.

102813312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1710 (or 1698 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 102813312 is about 10139.6899360878. The cubic root of 102813312 is about 468.4714366959.

The spelling of 102813312 in words is "one hundred two million, eight hundred thirteen thousand, three hundred twelve".