1100106510116 has 24 divisors (see below), whose sum is σ = 1946395771320. Its totient is φ = 544001375232.

The previous prime is 1100106510079. The next prime is 1100106510121. The reversal of 1100106510116 is 6110156010011.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 20784988900 + 1079321521216 = 144170^2 + 1038904^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1100106510091 and 1100106510100.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 437615 + ... + 1546518.

It is an arithmetic number, because the mean of its divisors is an integer number (81099823805).

Almost surely, 2^{1100106510116} is an apocalyptic number.

It is an amenable number.

1100106510116 is a deficient number, since it is larger than the sum of its proper divisors (846289261204).

1100106510116 is a wasteful number, since it uses less digits than its factorization.

1100106510116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1985663 (or 1985661 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 23.

The spelling of 1100106510116 in words is "one trillion, one hundred billion, one hundred six million, five hundred ten thousand, one hundred sixteen".