102000200 has 48 divisors (see below), whose sum is σ = 238318080. Its totient is φ = 40599360.

The previous prime is 102000191. The next prime is 102000209. The reversal of 102000200 is 2000201.

It is an interprime number because it is at equal distance from previous prime (102000191) and next prime (102000209).

It is a Harshad number since it is a multiple of its sum of digits (5).

It is not an unprimeable number, because it can be changed into a prime (102000209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43457 + ... + 45743.

It is an arithmetic number, because the mean of its divisors is an integer number (4964960).

Almost surely, 2^102000200 is an apocalyptic number.

102000200 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 102000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119159040).

102000200 is an abundant number, since it is smaller than the sum of its proper divisors (136317880).

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

102000200 is a wasteful number, since it uses less digits than its factorization.

102000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2526 (or 2517 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

The square root of 102000200 is about 10099.5148398327. The cubic root of 102000200 is about 467.2331782163.

Adding to 102000200 its reverse (2000201), we get a palindrome (104000401).

Subtracting from 102000200 its reverse (2000201), we obtain a palindrome (99999999).

The spelling of 102000200 in words is "one hundred two million, two hundred", and thus it is an aban number.