105575052011660 has 192 divisors, whose sum is σ = 277131736433664. Its totient is φ = 32821189632000.

The previous prime is 105575052011633. The next prime is 105575052011677. The reversal of 105575052011660 is 66110250575501.

It is a super-2 number, since 2×105575052011660² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2567903264 + ... + 2567944376.

It is an arithmetic number, because the mean of its divisors is an integer number (1443394460592).

Almost surely, 2^{105575052011660} is an apocalyptic number.

105575052011660 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 105575052011660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138565868216832).

105575052011660 is an abundant number, since it is smaller than the sum of its proper divisors (171556684422004).

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

105575052011660 is a wasteful number, since it uses less digits than its factorization.

105575052011660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45424 (or 45422 counting only the distinct ones).

The product of its (nonzero) digits is 315000, while the sum is 44.

The spelling of 105575052011660 in words is "one hundred five trillion, five hundred seventy-five billion, fifty-two million, eleven thousand, six hundred sixty".