105085981 has 32 divisors (see below), whose sum is σ = 143490816. Its totient is φ = 74304000.

The previous prime is 105085963. The next prime is 105085997. The reversal of 105085981 is 189580501.

It is a 5-Lehmer number, since φ(105085981) divides (105085981-1)⁵.

It is a cyclic number.

It is not a de Polignac number, because 105085981 - 2⁹ = 105085469 is a prime.

It is a super-2 number, since 2×105085981² = 22086126805464722, which contains 22 as substring.

It is a deceptive number, since it divides R_105085980.

It is a self number, because there is not a number n which added to its sum of digits gives 105085981.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105085901) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60201 + ... + 61921.

It is an arithmetic number, because the mean of its divisors is an integer number (4484088).

It is a Poulet number, since it divides 2^105085980-1.

Almost surely, 2^105085981 is an apocalyptic number.

105085981 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105085981 is a deficient number, since it is larger than the sum of its proper divisors (38404835).

105085981 is a wasteful number, since it uses less digits than its factorization.

105085981 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1813.

The product of its (nonzero) digits is 14400, while the sum is 37.

The square root of 105085981 is about 10251.1453506425. The cubic root of 105085981 is about 471.8981349767.

The spelling of 105085981 in words is "one hundred five million, eighty-five thousand, nine hundred eighty-one".