105556560660 has 288 divisors, whose sum is σ = 336032686080. Its totient is φ = 26795059200.

The previous prime is 105556560647. The next prime is 105556560661. The reversal of 105556560660 is 66065655501.

It is a super-2 number, since 2×105556560660² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105556560661) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 82529901 + ... + 82531179.

It is an arithmetic number, because the mean of its divisors is an integer number (1166780160).

Almost surely, 2^105556560660 is an apocalyptic number.

105556560660 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 105556560660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168016343040).

105556560660 is an abundant number, since it is smaller than the sum of its proper divisors (230476125420).

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

105556560660 is a wasteful number, since it uses less digits than its factorization.

105556560660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1599 (or 1594 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 45.

The spelling of 105556560660 in words is "one hundred five billion, five hundred fifty-six million, five hundred sixty thousand, six hundred sixty".