104686461 has 24 divisors (see below), whose sum is σ = 165615840. Its totient is φ = 63194400.

The previous prime is 104686457. The next prime is 104686469. The reversal of 104686461 is 164686401.

104686461 is a `hidden beast` number, since 1 + 0 + 4 + 6 + 8 + 646 + 1 = 666.

It is not a de Polignac number, because 104686461 - 2² = 104686457 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104686469) 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 23 ways as a sum of consecutive naturals, for example, 24666 + ... + 28596.

It is an arithmetic number, because the mean of its divisors is an integer number (6900660).

Almost surely, 2^104686461 is an apocalyptic number.

104686461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

104686461 is a deficient number, since it is larger than the sum of its proper divisors (60929379).

104686461 is a wasteful number, since it uses less digits than its factorization.

104686461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4217 (or 4214 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 104686461 is about 10231.6401910935. The cubic root of 104686461 is about 471.2993485648.

The spelling of 104686461 in words is "one hundred four million, six hundred eighty-six thousand, four hundred sixty-one".