102820900 has 72 divisors (see below), whose sum is σ = 274635200. Its totient is φ = 32538240.

The previous prime is 102820897. The next prime is 102820909. The reversal of 102820900 is 9028201.

102820900 = 2016² + 2017² + ... + 2040².

It is not an unprimeable number, because it can be changed into a prime (102820909) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3451 + ... + 14749.

Almost surely, 2^102820900 is an apocalyptic number.

102820900 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 102820900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137317600).

102820900 is an abundant number, since it is smaller than the sum of its proper divisors (171814300).

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

102820900 is a wasteful number, since it uses less digits than its factorization.

102820900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11333 (or 11326 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 102820900 is about 10140.0641023615. The cubic root of 102820900 is about 468.4829613832.

The spelling of 102820900 in words is "one hundred two million, eight hundred twenty thousand, nine hundred".