100166615360 has 168 divisors, whose sum is σ = 280979758080. Its totient is φ = 33907700736.

The previous prime is 100166615279. The next prime is 100166615369. The reversal of 100166615360 is 63516661001.

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

It is a self number, because there is not a number n which added to its sum of digits gives 100166615360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100166615369) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1198289 + ... + 1279151.

It is an arithmetic number, because the mean of its divisors is an integer number (1672498560).

Almost surely, 2^100166615360 is an apocalyptic number.

100166615360 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 100166615360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140489879040).

100166615360 is an abundant number, since it is smaller than the sum of its proper divisors (180813142720).

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

100166615360 is an equidigital number, since it uses as much as digits as its factorization.

100166615360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80973 (or 80956 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 35.

The spelling of 100166615360 in words is "one hundred billion, one hundred sixty-six million, six hundred fifteen thousand, three hundred sixty".