100416616660 has 24 divisors (see below), whose sum is σ = 211162613256. Its totient is φ = 40111843200.

The previous prime is 100416616649. The next prime is 100416616661. The reversal of 100416616660 is 66616614001.

It can be written as a sum of positive squares in 4 ways, for example, as 29999625616 + 70416991044 = 173204^2 + 265362^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100416616661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3410191 + ... + 3439510.

It is an arithmetic number, because the mean of its divisors is an integer number (8798442219).

Almost surely, 2^100416616660 is an apocalyptic number.

100416616660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100416616660 is an abundant number, since it is smaller than the sum of its proper divisors (110745996596).

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

100416616660 is a wasteful number, since it uses less digits than its factorization.

100416616660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6850443 (or 6850441 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The spelling of 100416616660 in words is "one hundred billion, four hundred sixteen million, six hundred sixteen thousand, six hundred sixty".