1106105772 has 24 divisors (see below), whose sum is σ = 2585113776. Its totient is φ = 368101888.

The previous prime is 1106105723. The next prime is 1106105779. The reversal of 1106105772 is 2775016011.

It is not an unprimeable number, because it can be changed into a prime (1106105779) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67293 + ... + 82100.

It is an arithmetic number, because the mean of its divisors is an integer number (107713074).

Almost surely, 2^1106105772 is an apocalyptic number.

1106105772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1106105772 is an abundant number, since it is smaller than the sum of its proper divisors (1479008004).

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

1106105772 is a wasteful number, since it uses less digits than its factorization.

1106105772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150017 (or 150015 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 30.

The square root of 1106105772 is about 33258.1685003850. The cubic root of 1106105772 is about 1034.1865521460.

The spelling of 1106105772 in words is "one billion, one hundred six million, one hundred five thousand, seven hundred seventy-two".