102839200 has 36 divisors (see below), whose sum is σ = 251058150. Its totient is φ = 41135360.

The previous prime is 102839197. The next prime is 102839201. The reversal of 102839200 is 2938201.

It can be written as a sum of positive squares in 3 ways, for example, as 38390416 + 64448784 = 6196^2 + 8028^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (102839201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 63475 + ... + 65074.

Almost surely, 2^102839200 is an apocalyptic number.

102839200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102839200 is an abundant number, since it is smaller than the sum of its proper divisors (148218950).

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

102839200 is a wasteful number, since it uses less digits than its factorization.

102839200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128569 (or 128556 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 102839200 is about 10140.9664233741. The cubic root of 102839200 is about 468.5107531701.

Subtracting from 102839200 its reverse (2938201), we obtain a palindrome (99900999).

The spelling of 102839200 in words is "one hundred two million, eight hundred thirty-nine thousand, two hundred".