10005561111 has 32 divisors (see below), whose sum is σ = 16664478208. Its totient is φ = 5198878080.

The previous prime is 10005561073. The next prime is 10005561143. The reversal of 10005561111 is 11116550001.

It is a happy number.

10005561111 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10005561111 - 2⁶ = 10005561047 is a prime.

It is a super-2 number, since 2×10005561111² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005561161) 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, 255220 + ... + 291801.

It is an arithmetic number, because the mean of its divisors is an integer number (520764944).

Almost surely, 2^10005561111 is an apocalyptic number.

10005561111 is a deficient number, since it is larger than the sum of its proper divisors (6658917097).

10005561111 is a wasteful number, since it uses less digits than its factorization.

10005561111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547111.

The product of its (nonzero) digits is 150, while the sum is 21.

The spelling of 10005561111 in words is "ten billion, five million, five hundred sixty-one thousand, one hundred eleven".