105061101100 has 18 divisors (see below), whose sum is σ = 227982589604. Its totient is φ = 42024440400.

The previous prime is 105061101077. The next prime is 105061101133. The reversal of 105061101100 is 1101160501.

It is a super-2 number, since 2×105061101100² (a number of 23 digits) contains 22 as substring.

It is a zygodrome in base 9.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 525305406 + ... + 525305605.

Almost surely, 2^105061101100 is an apocalyptic number.

105061101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105061101100 is an abundant number, since it is smaller than the sum of its proper divisors (122921488504).

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

105061101100 is a wasteful number, since it uses less digits than its factorization.

105061101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050611025 (or 1050611018 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 16.

Adding to 105061101100 its reverse (1101160501), we get a palindrome (106162261601).

The spelling of 105061101100 in words is "one hundred five billion, sixty-one million, one hundred one thousand, one hundred".