105105561 has 24 divisors (see below), whose sum is σ = 160749120. Its totient is φ = 60925920.

The previous prime is 105105551. The next prime is 105105571. The reversal of 105105561 is 165501501.

It is an interprime number because it is at equal distance from previous prime (105105551) and next prime (105105571).

It is not a de Polignac number, because 105105561 - 2¹⁰ = 105104537 is a prime.

It is a super-2 number, since 2×105105561² = 22094357906249442, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105105551) 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, 2055 + ... + 14643.

It is an arithmetic number, because the mean of its divisors is an integer number (6697880).

Almost surely, 2^105105561 is an apocalyptic number.

105105561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105105561 is a deficient number, since it is larger than the sum of its proper divisors (55643559).

105105561 is a wasteful number, since it uses less digits than its factorization.

105105561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12637 (or 12626 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 24.

The square root of 105105561 is about 10252.1003213976. The cubic root of 105105561 is about 471.9274417456.

The spelling of 105105561 in words is "one hundred five million, one hundred five thousand, five hundred sixty-one".