102032300 has 72 divisors (see below), whose sum is σ = 239609664. Its totient is φ = 37565440.

The previous prime is 102032291. The next prime is 102032309. The reversal of 102032300 is 3230201.

It is an interprime number because it is at equal distance from previous prime (102032291) and next prime (102032309).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102032309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79262 + ... + 80538.

It is an arithmetic number, because the mean of its divisors is an integer number (3327912).

Almost surely, 2^102032300 is an apocalyptic number.

102032300 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 102032300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119804832).

102032300 is an abundant number, since it is smaller than the sum of its proper divisors (137577364).

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

102032300 is a wasteful number, since it uses less digits than its factorization.

102032300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 102032300 is about 10101.1039000695. The cubic root of 102032300 is about 467.2821866560.

Adding to 102032300 its reverse (3230201), we get a palindrome (105262501).

The spelling of 102032300 in words is "one hundred two million, thirty-two thousand, three hundred".