100246713216 has 256 divisors, whose sum is σ = 295184736000. Its totient is φ = 29948018688.

The previous prime is 100246713191. The next prime is 100246713221. The reversal of 100246713216 is 612317642001.

It is a super-2 number, since 2×100246713216² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38422120 + ... + 38424728.

It is an arithmetic number, because the mean of its divisors is an integer number (1153065375).

Almost surely, 2^100246713216 is an apocalyptic number.

100246713216 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 100246713216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147592368000).

100246713216 is an abundant number, since it is smaller than the sum of its proper divisors (194938022784).

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

100246713216 is a wasteful number, since it uses less digits than its factorization.

100246713216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2861 (or 2849 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 100246713216 in words is "one hundred billion, two hundred forty-six million, seven hundred thirteen thousand, two hundred sixteen".