10105061105 has 16 divisors (see below), whose sum is σ = 12466745424. Its totient is φ = 7858360320.

The previous prime is 10105061081. The next prime is 10105061111. The reversal of 10105061105 is 50116050101.

It can be written as a sum of positive squares in 8 ways, for example, as 3745317601 + 6359743504 = 61199^2 + 79748^2 .

It is a de Polignac number, because none of the positive numbers 2^k-10105061105 is a prime.

It is a super-2 number, since 2×10105061105² (a number of 21 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, 32192 + ... + 145761.

It is an arithmetic number, because the mean of its divisors is an integer number (779171589).

Almost surely, 2^10105061105 is an apocalyptic number.

It is an amenable number.

10105061105 is a deficient number, since it is larger than the sum of its proper divisors (2361684319).

10105061105 is a wasteful number, since it uses less digits than its factorization.

10105061105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178276.

The product of its (nonzero) digits is 150, while the sum is 20.

The spelling of 10105061105 in words is "ten billion, one hundred five million, sixty-one thousand, one hundred five".