105100606011106 has 16 divisors (see below), whose sum is σ = 157954570562808. Its totient is φ = 52449083856000.

The previous prime is 105100606011073. The next prime is 105100606011109. The reversal of 105100606011106 is 601110606001501.

It can be written as a sum of positive squares in 4 ways, for example, as 55993657717881 + 49106948293225 = 7482891^2 + 7007635^2 .

It is a super-2 number, since 2×105100606011106² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105100606011109) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 225352756 + ... + 225818656.

Almost surely, 2^{105100606011106} is an apocalyptic number.

105100606011106 is a deficient number, since it is larger than the sum of its proper divisors (52853964551702).

105100606011106 is a wasteful number, since it uses less digits than its factorization.

105100606011106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682917.

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

The spelling of 105100606011106 in words is "one hundred five trillion, one hundred billion, six hundred six million, eleven thousand, one hundred six".