10011105 has 48 divisors (see below), whose sum is σ = 18978960. Its totient is φ = 4852224.

The previous prime is 10011101. The next prime is 10011107. The reversal of 10011105 is 50111001.

It can be written as a sum of positive squares in 8 ways, for example, as 720801 + 9290304 = 849^2 + 3048^2 .

It is not a de Polignac number, because 10011105 - 2² = 10011101 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10011101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63687 + ... + 63843.

It is an arithmetic number, because the mean of its divisors is an integer number (395395).

Almost surely, 2^10011105 is an apocalyptic number.

10011105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10011105 is a deficient number, since it is larger than the sum of its proper divisors (8967855).

10011105 is a wasteful number, since it uses less digits than its factorization.

10011105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 9.

The square root of 10011105 is about 3164.0330276405. The cubic root of 10011105 is about 215.5231894914.

Adding to 10011105 its reverse (50111001), we get a palindrome (60122106).

The spelling of 10011105 in words is "ten million, eleven thousand, one hundred five".