103092896256000 has 832 divisors, whose sum is σ = 393795055779840. Its totient is φ = 23459728588800.

The previous prime is 103092896255977. The next prime is 103092896256017. The reversal of 103092896256000 is 652698290301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2440682881 + ... + 2440725119.

It is an arithmetic number, because the mean of its divisors is an integer number (473311365120).

Almost surely, 2^{103092896256000} is an apocalyptic number.

103092896256000 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 103092896256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196897527889920).

103092896256000 is an abundant number, since it is smaller than the sum of its proper divisors (290702159523840).

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

103092896256000 is an equidigital number, since it uses as much as digits as its factorization.

103092896256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42515 (or 42483 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 51.

The spelling of 103092896256000 in words is "one hundred three trillion, ninety-two billion, eight hundred ninety-six million, two hundred fifty-six thousand".