106100611060105 has 16 divisors (see below), whose sum is σ = 129020178916944. Its totient is φ = 83753261612800.

The previous prime is 106100611060019. The next prime is 106100611060261. The reversal of 106100611060105 is 501060116001601.

It can be written as a sum of positive squares in 8 ways, for example, as 36154954384201 + 69945656675904 = 6012899^2 + 8363352^2 .

It is not a de Polignac number, because 106100611060105 - 2¹³ = 106100611051913 is a prime.

It is a super-2 number, since 2×106100611060105² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 358384834 + ... + 358680763.

It is an arithmetic number, because the mean of its divisors is an integer number (8063761182309).

Almost surely, 2^{106100611060105} is an apocalyptic number.

It is an amenable number.

106100611060105 is a deficient number, since it is larger than the sum of its proper divisors (22919567856839).

106100611060105 is a wasteful number, since it uses less digits than its factorization.

106100611060105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717065996.

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

Adding to 106100611060105 its reverse (501060116001601), we get a palindrome (607160727061706).

The spelling of 106100611060105 in words is "one hundred six trillion, one hundred billion, six hundred eleven million, sixty thousand, one hundred five".