10046716360100 has 144 divisors (see below), whose sum is σ = 26394129417600. Its totient is φ = 3240413030400.

The previous prime is 10046716360099. The next prime is 10046716360141. The reversal of 10046716360100 is 106361764001.

It is a Harshad number since it is a multiple of its sum of digits (35).

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 47 ways as a sum of consecutive naturals, for example, 24776990 + ... + 25179210.

It is an arithmetic number, because the mean of its divisors is an integer number (183292565400).

Almost surely, 2^{10046716360100} is an apocalyptic number.

10046716360100 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 10046716360100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13197064708800).

10046716360100 is an abundant number, since it is smaller than the sum of its proper divisors (16347413057500).

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

10046716360100 is a wasteful number, since it uses less digits than its factorization.

10046716360100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404358 (or 404351 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The spelling of 10046716360100 in words is "ten trillion, forty-six billion, seven hundred sixteen million, three hundred sixty thousand, one hundred".