104005767 has 8 divisors (see below), whose sum is σ = 139127296. Its totient is φ = 69110712.

The previous prime is 104005751. The next prime is 104005771. The reversal of 104005767 is 767500401.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 104005767 - 2⁴ = 104005751 is a prime.

It is a super-3 number, since 3×104005767³ (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104005787) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55543 + ... + 57384.

It is an arithmetic number, because the mean of its divisors is an integer number (17390912).

Almost surely, 2^104005767 is an apocalyptic number.

104005767 is a deficient number, since it is larger than the sum of its proper divisors (35121529).

104005767 is a wasteful number, since it uses less digits than its factorization.

104005767 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113237.

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 104005767 is about 10198.3217737037. The cubic root of 104005767 is about 470.2756297855.

The spelling of 104005767 in words is "one hundred four million, five thousand, seven hundred sixty-seven".