105560061101000 has 128 divisors (see below), whose sum is σ = 269481473838720. Its totient is φ = 38383279200000.

The previous prime is 105560061100981. The next prime is 105560061101009. The reversal of 105560061101000 is 101160065501.

It is a super-2 number, since 2×105560061101000² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105560061101009) 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, 198405335 + ... + 198936665.

It is an arithmetic number, because the mean of its divisors is an integer number (2105324014365).

Almost surely, 2^{105560061101000} is an apocalyptic number.

105560061101000 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 105560061101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134740736919360).

105560061101000 is an abundant number, since it is smaller than the sum of its proper divisors (163921412737720).

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

105560061101000 is a wasteful number, since it uses less digits than its factorization.

105560061101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549424 (or 549410 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 26.

The spelling of 105560061101000 in words is "one hundred five trillion, five hundred sixty billion, sixty-one million, one hundred one thousand".