1105225011 has 36 divisors (see below), whose sum is σ = 1771049280. Its totient is φ = 663616800.

The previous prime is 1105224983. The next prime is 1105225013.

1105225011 is a `hidden beast` number, since 110 + 52 + 2 + 501 + 1 = 666.

1105225011 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1105225011 - 2¹⁸ = 1104962867 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1105225013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 114046 + ... + 123356.

Almost surely, 2^1105225011 is an apocalyptic number.

1105225011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1105225011 is a deficient number, since it is larger than the sum of its proper divisors (665824269).

1105225011 is a wasteful number, since it uses less digits than its factorization.

1105225011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9448 (or 9434 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

The square root of 1105225011 is about 33244.9245900784. The cubic root of 1105225011 is about 1033.9119813412.

It can be divided in two parts, 11052 and 25011, that added together give a palindrome (36063).

The spelling of 1105225011 in words is "one billion, one hundred five million, two hundred twenty-five thousand, eleven".