102302100 has 108 divisors (see below), whose sum is σ = 322846524. Its totient is φ = 27095040.

The previous prime is 102302089. The next prime is 102302129. The reversal of 102302100 is 1203201.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 26193924 + 76108176 = 5118^2 + 8724^2 .

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

It is a congruent number.

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, 177012 + ... + 177588.

Almost surely, 2^102302100 is an apocalyptic number.

102302100 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 102302100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161423262).

102302100 is an abundant number, since it is smaller than the sum of its proper divisors (220544424).

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

102302100 is a wasteful number, since it uses less digits than its factorization.

102302100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 784 counting only the distinct ones).

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

The square root of 102302100 is about 10114.4500591975. The cubic root of 102302100 is about 467.6936961285.

Adding to 102302100 its reverse (1203201), we get a palindrome (103505301).

The spelling of 102302100 in words is "one hundred two million, three hundred two thousand, one hundred".