100560116664 has 192 divisors, whose sum is σ = 313272273600. Its totient is φ = 28546172928.

The previous prime is 100560116659. The next prime is 100560116687. The reversal of 100560116664 is 466611065001.

It is a happy number.

It is a super-2 number, since 2×100560116664² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58840642 + ... + 58842350.

It is an arithmetic number, because the mean of its divisors is an integer number (1631626425).

Almost surely, 2^100560116664 is an apocalyptic number.

100560116664 is a gapful number since it is divisible by the number (14) 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 100560116664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156636136800).

100560116664 is an abundant number, since it is smaller than the sum of its proper divisors (212712156936).

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

100560116664 is a wasteful number, since it uses less digits than its factorization.

100560116664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2414 (or 2407 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 100560116664 in words is "one hundred billion, five hundred sixty million, one hundred sixteen thousand, six hundred sixty-four".