102800000 has 96 divisors (see below), whose sum is σ = 256975740. Its totient is φ = 40960000.

The previous prime is 102799993. The next prime is 102800011. The reversal of 102800000 is 8201.

It can be written as a sum of positive squares in 6 ways, for example, as 61504 + 102738496 = 248^2 + 10136^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 399872 + ... + 400128.

Almost surely, 2^102800000 is an apocalyptic number.

102800000 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 102800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128487870).

102800000 is an abundant number, since it is smaller than the sum of its proper divisors (154175740).

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

102800000 is an frugal number, since it uses more digits than its factorization.

102800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 102800000 is about 10139.0334845093. The cubic root of 102800000 is about 468.4512170025.

Adding to 102800000 its reverse (8201), we get a palindrome (102808201).

The spelling of 102800000 in words is "one hundred two million, eight hundred thousand".