1001011105 has 32 divisors (see below), whose sum is σ = 1302013440. Its totient is φ = 736312320.

The previous prime is 1001011103. The next prime is 1001011117. The reversal of 1001011105 is 5011101001.

It is not a de Polignac number, because 1001011105 - 2¹ = 1001011103 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1001011091 and 1001011100.

It is not an unprimeable number, because it can be changed into a prime (1001011103) 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 31 ways as a sum of consecutive naturals, for example, 906984 + ... + 908086.

It is an arithmetic number, because the mean of its divisors is an integer number (40687920).

Almost surely, 2^1001011105 is an apocalyptic number.

It is an amenable number.

1001011105 is a deficient number, since it is larger than the sum of its proper divisors (301002335).

1001011105 is a wasteful number, since it uses less digits than its factorization.

1001011105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1401.

The product of its (nonzero) digits is 5, while the sum is 10.

The square root of 1001011105 is about 31638.7595363662. The cubic root of 1001011105 is about 1000.3369214712.

Adding to 1001011105 its reverse (5011101001), we get a palindrome (6012112106).

It can be divided in two parts, 10010 and 11105, that added together give a triangular number (21115 = T₂₀₅).

The spelling of 1001011105 in words is "one billion, one million, eleven thousand, one hundred five".