105010000611 has 16 divisors (see below), whose sum is σ = 140285617824. Its totient is φ = 69870657024.

The previous prime is 105010000573. The next prime is 105010000619. The reversal of 105010000611 is 116000010501.

It is not a de Polignac number, because 105010000611 - 2⁷ = 105010000483 is a prime.

It is a super-2 number, since 2×105010000611² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105010000619) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3397021 + ... + 3427793.

It is an arithmetic number, because the mean of its divisors is an integer number (8767851114).

Almost surely, 2^105010000611 is an apocalyptic number.

105010000611 is a deficient number, since it is larger than the sum of its proper divisors (35275617213).

105010000611 is a wasteful number, since it uses less digits than its factorization.

105010000611 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32950.

The product of its (nonzero) digits is 30, while the sum is 15.

The spelling of 105010000611 in words is "one hundred five billion, ten million, six hundred eleven", and thus it is an aban number.