104774016 has 64 divisors (see below), whose sum is σ = 290430720. Its totient is φ = 33403392.

The previous prime is 104773967. The next prime is 104774023. The reversal of 104774016 is 610477401.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 2901 + ... + 14763.

It is an arithmetic number, because the mean of its divisors is an integer number (4537980).

Almost surely, 2^104774016 is an apocalyptic number.

104774016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104774016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145215360).

104774016 is an abundant number, since it is smaller than the sum of its proper divisors (185656704).

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

104774016 is a wasteful number, since it uses less digits than its factorization.

104774016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11903 (or 11891 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 104774016 is about 10235.9179363651. The cubic root of 104774016 is about 471.4307030731.

The spelling of 104774016 in words is "one hundred four million, seven hundred seventy-four thousand, sixteen".