102825991296 has 256 divisors, whose sum is σ = 352015872000. Its totient is φ = 28939908096.

The previous prime is 102825991253. The next prime is 102825991309. The reversal of 102825991296 is 692199528201.

102825991296 is a `hidden beast` number, since 1 + 0 + 28 + 2 + 599 + 1 + 29 + 6 = 666.

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, 1589145 + ... + 1652583.

It is an arithmetic number, because the mean of its divisors is an integer number (1375062000).

Almost surely, 2^102825991296 is an apocalyptic number.

102825991296 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 102825991296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176007936000).

102825991296 is an abundant number, since it is smaller than the sum of its proper divisors (249189880704).

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

102825991296 is an equidigital number, since it uses as much as digits as its factorization.

102825991296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63536 (or 63518 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 102825991296 in words is "one hundred two billion, eight hundred twenty-five million, nine hundred ninety-one thousand, two hundred ninety-six".