100505351351400 has 96 divisors (see below), whose sum is σ = 311570399914560. Its totient is φ = 26801099223040.

The previous prime is 100505351351387. The next prime is 100505351351411. The reversal of 100505351351400 is 4153153505001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50206069 + ... + 52169531.

It is an arithmetic number, because the mean of its divisors is an integer number (3245524999110).

Almost surely, 2^{100505351351400} is an apocalyptic number.

100505351351400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100505351351400 is an abundant number, since it is smaller than the sum of its proper divisors (211065048563160).

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

100505351351400 is a wasteful number, since it uses less digits than its factorization.

100505351351400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2048795 (or 2048786 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 33.

The spelling of 100505351351400 in words is "one hundred trillion, five hundred five billion, three hundred fifty-one million, three hundred fifty-one thousand, four hundred".