105682461 has 32 divisors (see below), whose sum is σ = 149700096. Its totient is φ = 66240000.

The previous prime is 105682457. The next prime is 105682469. The reversal of 105682461 is 164286501.

It is not a de Polignac number, because 105682461 - 2² = 105682457 is a prime.

It is a super-2 number, since 2×105682461² = 22337565126033042, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105682469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 583791 + ... + 583971.

It is an arithmetic number, because the mean of its divisors is an integer number (4678128).

Almost surely, 2^105682461 is an apocalyptic number.

It is an amenable number.

105682461 is a deficient number, since it is larger than the sum of its proper divisors (44017635).

105682461 is a wasteful number, since it uses less digits than its factorization.

105682461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373.

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 105682461 is about 10280.1975175577. The cubic root of 105682461 is about 472.7893001707.

The spelling of 105682461 in words is "one hundred five million, six hundred eighty-two thousand, four hundred sixty-one".