105061111660 has 48 divisors (see below), whose sum is σ = 230469624000. Its totient is φ = 40153862144.

The previous prime is 105061111567. The next prime is 105061111697. The reversal of 105061111660 is 66111160501.

It is a super-2 number, since 2×105061111660² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 304416 + ... + 550264.

It is an arithmetic number, because the mean of its divisors is an integer number (4801450500).

Almost surely, 2^105061111660 is an apocalyptic number.

105061111660 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 105061111660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115234812000).

105061111660 is an abundant number, since it is smaller than the sum of its proper divisors (125408512340).

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

105061111660 is a wasteful number, since it uses less digits than its factorization.

105061111660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246810 (or 246808 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 28.

The spelling of 105061111660 in words is "one hundred five billion, sixty-one million, one hundred eleven thousand, six hundred sixty".