1105666772 has 72 divisors (see below), whose sum is σ = 2378678400. Its totient is φ = 447140736.

The previous prime is 1105666769. The next prime is 1105666811. The reversal of 1105666772 is 2776665011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1366304 + ... + 1367112.

It is an arithmetic number, because the mean of its divisors is an integer number (33037200).

Almost surely, 2^1105666772 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1105666772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1189339200).

1105666772 is an abundant number, since it is smaller than the sum of its proper divisors (1273011628).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1105666772 is a wasteful number, since it uses less digits than its factorization.

1105666772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1213 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 41.

The square root of 1105666772 is about 33251.5679630300. The cubic root of 1105666772 is about 1034.0497153309.

The spelling of 1105666772 in words is "one billion, one hundred five million, six hundred sixty-six thousand, seven hundred seventy-two".