102045200 has 120 divisors (see below), whose sum is σ = 267542400. Its totient is φ = 37255680.

The previous prime is 102045197. The next prime is 102045217. The reversal of 102045200 is 2540201.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 220169 + ... + 220631.

It is an arithmetic number, because the mean of its divisors is an integer number (2229520).

Almost surely, 2^102045200 is an apocalyptic number.

102045200 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 102045200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133771200).

102045200 is an abundant number, since it is smaller than the sum of its proper divisors (165497200).

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

102045200 is a wasteful number, since it uses less digits than its factorization.

102045200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 102045200 is about 10101.7424239584. The cubic root of 102045200 is about 467.3018787411.

Adding to 102045200 its reverse (2540201), we get a palindrome (104585401).

The spelling of 102045200 in words is "one hundred two million, forty-five thousand, two hundred".