100505100056000 has 112 divisors (see below), whose sum is σ = 248932295245920. Its totient is φ = 40196965939200.

The previous prime is 100505100055967. The next prime is 100505100056021. The reversal of 100505100056000 is 650001505001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62915156 + ... + 64492844.

Almost surely, 2^{100505100056000} is an apocalyptic number.

100505100056000 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 100505100056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124466147622960).

100505100056000 is an abundant number, since it is smaller than the sum of its proper divisors (148427195189920).

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

100505100056000 is an equidigital number, since it uses as much as digits as its factorization.

100505100056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1585679 (or 1585659 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 23.

The spelling of 100505100056000 in words is "one hundred trillion, five hundred five billion, one hundred million, fifty-six thousand".