105215600660 has 96 divisors (see below), whose sum is σ = 237057891840. Its totient is φ = 39087360000.

The previous prime is 105215600653. The next prime is 105215600663. The reversal of 105215600660 is 66006512501.

It is a super-2 number, since 2×105215600660² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105215600663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9296405 + ... + 9307715.

It is an arithmetic number, because the mean of its divisors is an integer number (2469353040).

Almost surely, 2^105215600660 is an apocalyptic number.

105215600660 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 105215600660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118528945920).

105215600660 is an abundant number, since it is smaller than the sum of its proper divisors (131842291180).

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

105215600660 is a wasteful number, since it uses less digits than its factorization.

105215600660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11697 (or 11695 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 32.

The spelling of 105215600660 in words is "one hundred five billion, two hundred fifteen million, six hundred thousand, six hundred sixty".