1011105873 has 12 divisors (see below), whose sum is σ = 1460887428. Its totient is φ = 673885440.

The previous prime is 1011105863. The next prime is 1011105899. The reversal of 1011105873 is 3785011101.

It can be written as a sum of positive squares in 2 ways, for example, as 460875024 + 550230849 = 21468^2 + 23457^2 .

It is not a de Polignac number, because 1011105873 - 2⁵ = 1011105841 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1011105803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24633 + ... + 51273.

It is an arithmetic number, because the mean of its divisors is an integer number (121740619).

Almost surely, 2^1011105873 is an apocalyptic number.

It is an amenable number.

1011105873 is a deficient number, since it is larger than the sum of its proper divisors (449781555).

1011105873 is a wasteful number, since it uses less digits than its factorization.

1011105873 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30864 (or 30861 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 27.

The square root of 1011105873 is about 31797.8910149714. The cubic root of 1011105873 is about 1003.6883371109.

Adding to 1011105873 its reverse (3785011101), we get a palindrome (4796116974).

The spelling of 1011105873 in words is "one billion, eleven million, one hundred five thousand, eight hundred seventy-three".