102032200 has 48 divisors (see below), whose sum is σ = 238556160. Its totient is φ = 40584000.

The previous prime is 102032171. The next prime is 102032219. The reversal of 102032200 is 2230201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

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, 36865 + ... + 39535.

It is an arithmetic number, because the mean of its divisors is an integer number (4969920).

Almost surely, 2^102032200 is an apocalyptic number.

102032200 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 102032200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119278080).

102032200 is an abundant number, since it is smaller than the sum of its proper divisors (136523960).

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

102032200 is a wasteful number, since it uses less digits than its factorization.

102032200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2878 (or 2869 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 102032200 is about 10101.0989501143. The cubic root of 102032200 is about 467.2820339977.

Adding to 102032200 its reverse (2230201), we get a palindrome (104262401).

It can be divided in two parts, 10203 and 2200, that added together give a triangular number (12403 = T₁₅₇).

The spelling of 102032200 in words is "one hundred two million, thirty-two thousand, two hundred".