102904200 has 144 divisors (see below), whose sum is σ = 395004480. Its totient is φ = 23518080.

The previous prime is 102904199. The next prime is 102904229. The reversal of 102904200 is 2409201.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 8517 + ... + 16683.

Almost surely, 2^102904200 is an apocalyptic number.

102904200 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 102904200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197502240).

102904200 is an abundant number, since it is smaller than the sum of its proper divisors (292100280).

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

102904200 is a wasteful number, since it uses less digits than its factorization.

102904200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8196 (or 8184 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 102904200 is about 10144.1707398880. The cubic root of 102904200 is about 468.6094405227.

The spelling of 102904200 in words is "one hundred two million, nine hundred four thousand, two hundred".