1151105823 has 48 divisors (see below), whose sum is σ = 2074392320. Its totient is φ = 623137536.

The previous prime is 1151105821. The next prime is 1151105897. The reversal of 1151105823 is 3285011511.

It is not a de Polignac number, because 1151105823 - 2¹ = 1151105821 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1151105821) 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 47 ways as a sum of consecutive naturals, for example, 14511 + ... + 50127.

Almost surely, 2^1151105823 is an apocalyptic number.

1151105823 is a deficient number, since it is larger than the sum of its proper divisors (923286497).

1151105823 is an equidigital number, since it uses as much as digits as its factorization.

1151105823 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35658 (or 35646 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

The square root of 1151105823 is about 33927.9504686033. The cubic root of 1151105823 is about 1048.0252598534.

The spelling of 1151105823 in words is "one billion, one hundred fifty-one million, one hundred five thousand, eight hundred twenty-three".