102904992 has 180 divisors, whose sum is σ = 321766830. Its totient is φ = 32223744.

The previous prime is 102904981. The next prime is 102904993. The reversal of 102904992 is 299409201.

It can be written as a sum of positive squares in 3 ways, for example, as 102333456 + 571536 = 10116^2 + 756^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (102904993) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2781198 + ... + 2781234.

Almost surely, 2^102904992 is an apocalyptic number.

102904992 is a gapful number since it is divisible by the number (12) 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 102904992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160883415).

102904992 is an abundant number, since it is smaller than the sum of its proper divisors (218861838).

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

102904992 is an equidigital number, since it uses as much as digits as its factorization.

102904992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 102904992 is about 10144.2097770107. The cubic root of 102904992 is about 468.6106427338.

The spelling of 102904992 in words is "one hundred two million, nine hundred four thousand, nine hundred ninety-two".