105560660551260 has 192 divisors, whose sum is σ = 314798472576000. Its totient is φ = 26355032782848.

The previous prime is 105560660551219. The next prime is 105560660551289. The reversal of 105560660551260 is 62155066065501.

It is a super-2 number, since 2×105560660551260² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31333216 + ... + 34538264.

It is an arithmetic number, because the mean of its divisors is an integer number (1639575378000).

Almost surely, 2^{105560660551260} is an apocalyptic number.

105560660551260 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 105560660551260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157399236288000).

105560660551260 is an abundant number, since it is smaller than the sum of its proper divisors (209237812024740).

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

105560660551260 is a wasteful number, since it uses less digits than its factorization.

105560660551260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3205420 (or 3205418 counting only the distinct ones).

The product of its (nonzero) digits is 1620000, while the sum is 48.

The spelling of 105560660551260 in words is "one hundred five trillion, five hundred sixty billion, six hundred sixty million, five hundred fifty-one thousand, two hundred sixty".