105282991 has 16 divisors (see below), whose sum is σ = 116693280. Its totient is φ = 94193280.

The previous prime is 105282943. The next prime is 105283001. The reversal of 105282991 is 199282501.

It is a cyclic number.

It is not a de Polignac number, because 105282991 - 2²¹ = 103185839 is a prime.

It is a super-2 number, since 2×105282991² = 22169016387812162, 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 105282991.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105282911) 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 15 ways as a sum of consecutive naturals, for example, 331965 + ... + 332281.

It is an arithmetic number, because the mean of its divisors is an integer number (7293330).

Almost surely, 2^105282991 is an apocalyptic number.

105282991 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105282991 is a deficient number, since it is larger than the sum of its proper divisors (11410289).

105282991 is a wasteful number, since it uses less digits than its factorization.

105282991 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714.

The product of its (nonzero) digits is 12960, while the sum is 37.

The square root of 105282991 is about 10260.7500213191. The cubic root of 105282991 is about 472.1928479773.

The spelling of 105282991 in words is "one hundred five million, two hundred eighty-two thousand, nine hundred ninety-one".