102800393 has 16 divisors (see below), whose sum is σ = 111720000. Its totient is φ = 94260672.

The previous prime is 102800381. The next prime is 102800417. The reversal of 102800393 is 393008201.

It is not a de Polignac number, because 102800393 - 2⁶ = 102800329 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102800293) 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, 245138 + ... + 245556.

It is an arithmetic number, because the mean of its divisors is an integer number (6982500).

Almost surely, 2^102800393 is an apocalyptic number.

It is an amenable number.

102800393 is a deficient number, since it is larger than the sum of its proper divisors (8919607).

102800393 is a wasteful number, since it uses less digits than its factorization.

102800393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824.

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 102800393 is about 10139.0528650363. The cubic root of 102800393 is about 468.4518139580.

Adding to 102800393 its reverse (393008201), we get a palindrome (495808594).

The spelling of 102800393 in words is "one hundred two million, eight hundred thousand, three hundred ninety-three".