102200032 has 48 divisors (see below), whose sum is σ = 220752000. Its totient is φ = 46189440.

The previous prime is 102200029. The next prime is 102200041. The reversal of 102200032 is 230002201.

It is a junction number, because it is equal to n+sod(n) for n = 102199991 and 102200018.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 69319 + ... + 70777.

It is an arithmetic number, because the mean of its divisors is an integer number (4599000).

Almost surely, 2^102200032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102200032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110376000).

102200032 is an abundant number, since it is smaller than the sum of its proper divisors (118551968).

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

102200032 is a wasteful number, since it uses less digits than its factorization.

102200032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1679 (or 1671 counting only the distinct ones).

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

The square root of 102200032 is about 10109.4031475651. The cubic root of 102200032 is about 467.5381032171.

Adding to 102200032 its reverse (230002201), we get a palindrome (332202233).

The spelling of 102200032 in words is "one hundred two million, two hundred thousand, thirty-two".