102904528896 has 512 divisors, whose sum is σ = 343508256000. Its totient is φ = 30208425984.

The previous prime is 102904528849. The next prime is 102904528907. The reversal of 102904528896 is 698825409201.

It is a happy number.

102904528896 is a `hidden beast` number, since 1 + 0 + 29 + 0 + 4 + 528 + 8 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 264535870 + ... + 264536258.

Almost surely, 2^102904528896 is an apocalyptic number.

102904528896 is a gapful number since it is divisible by the number (16) 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 102904528896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171754128000).

102904528896 is an abundant number, since it is smaller than the sum of its proper divisors (240603727104).

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

102904528896 is an equidigital number, since it uses as much as digits as its factorization.

102904528896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 102904528896 in words is "one hundred two billion, nine hundred four million, five hundred twenty-eight thousand, eight hundred ninety-six".