100416614016 has 64 divisors (see below), whose sum is σ = 282421745280. Its totient is φ = 31503249408.

The previous prime is 100416613963. The next prime is 100416614021. The reversal of 100416614016 is 610416614001.

100416614016 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7684696 + ... + 7697751.

It is an arithmetic number, because the mean of its divisors is an integer number (4412839770).

Almost surely, 2^100416614016 is an apocalyptic number.

100416614016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

100416614016 is an abundant number, since it is smaller than the sum of its proper divisors (182005131264).

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

100416614016 is a wasteful number, since it uses less digits than its factorization.

100416614016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15382481 (or 15382469 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 100416614016 in words is "one hundred billion, four hundred sixteen million, six hundred fourteen thousand, sixteen".