102032100 has 108 divisors (see below), whose sum is σ = 324403716. Its totient is φ = 26818560.

The previous prime is 102032087. The next prime is 102032123. The reversal of 102032100 is 1230201.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 11249316 + 90782784 = 3354^2 + 9528^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 64924 + ... + 66476.

Almost surely, 2^102032100 is an apocalyptic number.

102032100 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 102032100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162201858).

102032100 is an abundant number, since it is smaller than the sum of its proper divisors (222371616).

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

102032100 is a wasteful number, since it uses less digits than its factorization.

102032100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1646 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 102032100 is about 10101.0940001566. The cubic root of 102032100 is about 467.2818813393.

Adding to 102032100 its reverse (1230201), we get a palindrome (103262301).

The spelling of 102032100 in words is "one hundred two million, thirty-two thousand, one hundred".