104905905 has 48 divisors (see below), whose sum is σ = 188153280. Its totient is φ = 49830144.

The previous prime is 104905901. The next prime is 104905907. The reversal of 104905905 is 509509401.

104905905 = 380² + 381² + ... + 717².

It is not a de Polignac number, because 104905905 - 2² = 104905901 is a prime.

It is a super-4 number, since 4×104905905⁴ (a number of 33 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (104905901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72802 + ... + 74228.

It is an arithmetic number, because the mean of its divisors is an integer number (3919860).

Almost surely, 2^104905905 is an apocalyptic number.

104905905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

104905905 is a deficient number, since it is larger than the sum of its proper divisors (83247375).

104905905 is a wasteful number, since it uses less digits than its factorization.

104905905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1490 (or 1477 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 33.

The square root of 104905905 is about 10242.3583710003. The cubic root of 104905905 is about 471.6284316558.

The spelling of 104905905 in words is "one hundred four million, nine hundred five thousand, nine hundred five".