105166061 has 24 divisors (see below), whose sum is σ = 142286592. Its totient is φ = 75636000.

The previous prime is 105166031. The next prime is 105166129. The reversal of 105166061 is 160661501.

It is not a de Polignac number, because 105166061 - 2⁶ = 105165997 is a prime.

It is a super-2 number, since 2×105166061² = 22119800772511442, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105166061.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105166001) 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, 6236 + ... + 15786.

It is an arithmetic number, because the mean of its divisors is an integer number (5928608).

Almost surely, 2^105166061 is an apocalyptic number.

105166061 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105166061 is a deficient number, since it is larger than the sum of its proper divisors (37120531).

105166061 is a wasteful number, since it uses less digits than its factorization.

105166061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9593 (or 9582 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 105166061 is about 10255.0505118210. The cubic root of 105166061 is about 472.0179733772.

The spelling of 105166061 in words is "one hundred five million, one hundred sixty-six thousand, sixty-one".