1105061665101 has 16 divisors (see below), whose sum is σ = 1474885944000. Its totient is φ = 735972732288.

The previous prime is 1105061665063. The next prime is 1105061665153. The reversal of 1105061665101 is 1015661605011.

It is not a de Polignac number, because 1105061665101 - 2³⁰ = 1103987923277 is a prime.

It is a super-2 number, since 2×1105061665101² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1105061665501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52240675 + ... + 52261823.

It is an arithmetic number, because the mean of its divisors is an integer number (92180371500).

Almost surely, 2^{1105061665101} is an apocalyptic number.

It is an amenable number.

1105061665101 is a deficient number, since it is larger than the sum of its proper divisors (369824278899).

1105061665101 is a wasteful number, since it uses less digits than its factorization.

1105061665101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37708.

The product of its (nonzero) digits is 5400, while the sum is 33.

The spelling of 1105061665101 in words is "one trillion, one hundred five billion, sixty-one million, six hundred sixty-five thousand, one hundred one".