102044900 has 36 divisors (see below), whose sum is σ = 226847460. Its totient is φ = 39820800.

The previous prime is 102044893. The next prime is 102044909. The reversal of 102044900 is 9440201.

It can be written as a sum of positive squares in 6 ways, for example, as 51008164 + 51036736 = 7142^2 + 7144^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (102044909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8345 + ... + 16544.

Almost surely, 2^102044900 is an apocalyptic number.

102044900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102044900 is an abundant number, since it is smaller than the sum of its proper divisors (124802560).

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

102044900 is a wasteful number, since it uses less digits than its factorization.

102044900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24944 (or 24937 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 102044900 is about 10101.7275750240. The cubic root of 102044900 is about 467.3014208044.

The spelling of 102044900 in words is "one hundred two million, forty-four thousand, nine hundred".