102810368 has 72 divisors (see below), whose sum is σ = 225657600. Its totient is φ = 46531584.

The previous prime is 102810347. The next prime is 102810371. The reversal of 102810368 is 863018201.

It is a self number, because there is not a number n which added to its sum of digits gives 102810368.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111413 + ... + 112331.

Almost surely, 2^102810368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102810368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112828800).

102810368 is an abundant number, since it is smaller than the sum of its proper divisors (122847232).

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

102810368 is an equidigital number, since it uses as much as digits as its factorization.

102810368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 102810368 is about 10139.5447629566. The cubic root of 102810368 is about 468.4669651832.

Adding to 102810368 its reverse (863018201), we get a palindrome (965828569).

The spelling of 102810368 in words is "one hundred two million, eight hundred ten thousand, three hundred sixty-eight".