1101105261 has 24 divisors (see below), whose sum is σ = 1603963296. Its totient is φ = 727872480.

The previous prime is 1101105251. The next prime is 1101105281. The reversal of 1101105261 is 1625011011.

It is a happy number.

It is not a de Polignac number, because 1101105261 - 2²⁵ = 1067550829 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101105251) 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, 1133506 + ... + 1134476.

It is an arithmetic number, because the mean of its divisors is an integer number (66831804).

Almost surely, 2^1101105261 is an apocalyptic number.

It is an amenable number.

1101105261 is a deficient number, since it is larger than the sum of its proper divisors (502858035).

1101105261 is a wasteful number, since it uses less digits than its factorization.

1101105261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1913 (or 1910 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 18.

The square root of 1101105261 is about 33182.9061566343. The cubic root of 1101105261 is about 1032.6257388000.

Adding to 1101105261 its reverse (1625011011), we get a palindrome (2726116272).

The spelling of 1101105261 in words is "one billion, one hundred one million, one hundred five thousand, two hundred sixty-one".