102904128 has 224 divisors, whose sum is σ = 333573120. Its totient is φ = 30965760.

The previous prime is 102904121. The next prime is 102904129. The reversal of 102904128 is 821409201.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102904121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 910600 + ... + 910712.

Almost surely, 2^102904128 is an apocalyptic number.

102904128 is a gapful number since it is divisible by the number (18) 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 102904128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166786560).

102904128 is an abundant number, since it is smaller than the sum of its proper divisors (230668992).

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

102904128 is a wasteful number, since it uses less digits than its factorization.

102904128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 102904128 is about 10144.1671910512. The cubic root of 102904128 is about 468.6093312305.

The spelling of 102904128 in words is "one hundred two million, nine hundred four thousand, one hundred twenty-eight".