11000010105 has 24 divisors (see below), whose sum is σ = 21790496832. Its totient is φ = 5028575904.

The previous prime is 11000010101. The next prime is 11000010113. The reversal of 11000010105 is 50101000011.

It is not a de Polignac number, because 11000010105 - 2² = 11000010101 is a prime.

It is a super-2 number, since 2×11000010105² (a number of 21 digits) contains 22 as substring.

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 (11000010101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17460019 + ... + 17460648.

It is an arithmetic number, because the mean of its divisors is an integer number (907937368).

Almost surely, 2^11000010105 is an apocalyptic number.

11000010105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11000010105 is a deficient number, since it is larger than the sum of its proper divisors (10790486727).

11000010105 is a wasteful number, since it uses less digits than its factorization.

11000010105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34920685 (or 34920682 counting only the distinct ones).

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

Adding to 11000010105 its reverse (50101000011), we get a palindrome (61101010116).

The spelling of 11000010105 in words is "eleven billion, ten thousand, one hundred five".