1105156661661 has 24 divisors (see below), whose sum is σ = 1719171887160. Its totient is φ = 680080859136.

The previous prime is 1105156661641. The next prime is 1105156661663. The reversal of 1105156661661 is 1661666515011.

It can be written as a sum of positive squares in 4 ways, for example, as 15834447225 + 1089322214436 = 125835^2 + 1043706^2 .

It is not a de Polignac number, because 1105156661661 - 2¹⁷ = 1105156530589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1105156661663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7052125 + ... + 7207133.

It is an arithmetic number, because the mean of its divisors is an integer number (71632161965).

Almost surely, 2^{1105156661661} is an apocalyptic number.

It is an amenable number.

1105156661661 is a deficient number, since it is larger than the sum of its proper divisors (614015225499).

1105156661661 is a wasteful number, since it uses less digits than its factorization.

1105156661661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215965 (or 215962 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 1105156661661 in words is "one trillion, one hundred five billion, one hundred fifty-six million, six hundred sixty-one thousand, six hundred sixty-one".