1106006000261 has 16 divisors (see below), whose sum is σ = 1165556121600. Its totient is φ = 1046590558128.

The previous prime is 1106006000243. The next prime is 1106006000291. The reversal of 1106006000261 is 1620006006011.

It is a cyclic number.

It is not a de Polignac number, because 1106006000261 - 2¹⁴ = 1106005983877 is a prime.

It is a super-2 number, since 2×1106006000261² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1106006000291) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64417700 + ... + 64434866.

It is an arithmetic number, because the mean of its divisors is an integer number (72847257600).

Almost surely, 2^{1106006000261} is an apocalyptic number.

It is an amenable number.

1106006000261 is a deficient number, since it is larger than the sum of its proper divisors (59550121339).

1106006000261 is a wasteful number, since it uses less digits than its factorization.

1106006000261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20888.

The product of its (nonzero) digits is 432, while the sum is 23.

The spelling of 1106006000261 in words is "one trillion, one hundred six billion, six million, two hundred sixty-one", and thus it is an aban number.