102040200 has 144 divisors (see below), whose sum is σ = 347321520. Its totient is φ = 26843520.

The previous prime is 102040187. The next prime is 102040201. The reversal of 102040200 is 2040201.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (102040201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 149059 + ... + 149741.

It is an arithmetic number, because the mean of its divisors is an integer number (2411955).

Almost surely, 2^102040200 is an apocalyptic number.

102040200 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 102040200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173660760).

102040200 is an abundant number, since it is smaller than the sum of its proper divisors (245281320).

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

102040200 is a wasteful number, since it uses less digits than its factorization.

102040200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 102040200 is about 10101.4949388692. The cubic root of 102040200 is about 467.2942463469.

Adding to 102040200 its reverse (2040201), we get a palindrome (104080401).

Subtracting from 102040200 its reverse (2040201), we obtain a palindrome (99999999).

The spelling of 102040200 in words is "one hundred two million, forty thousand, two hundred".