104609934 has 256 divisors, whose sum is σ = 309657600. Its totient is φ = 25660800.

The previous prime is 104609929. The next prime is 104609951. The reversal of 104609934 is 439906401.

104609934 is a `hidden beast` number, since 10 + 4 + 609 + 9 + 34 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 3374499 + ... + 3374529.

It is an arithmetic number, because the mean of its divisors is an integer number (1209600).

Almost surely, 2^104609934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104609934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154828800).

104609934 is an abundant number, since it is smaller than the sum of its proper divisors (205047666).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

104609934 is a wasteful number, since it uses less digits than its factorization.

104609934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 104609934 is about 10227.8997844132. The cubic root of 104609934 is about 471.1844788323.

The spelling of 104609934 in words is "one hundred four million, six hundred nine thousand, nine hundred thirty-four".