104074000 has 80 divisors (see below), whose sum is σ = 266540976. Its totient is φ = 39168000.

The previous prime is 104073989. The next prime is 104074021. The reversal of 104074000 is 470401.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3111696 + 100962304 = 1764^2 + 10048^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32470 + ... + 35530.

Almost surely, 2^104074000 is an apocalyptic number.

104074000 is a gapful number since it is divisible by the number (10) 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 104074000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133270488).

104074000 is an abundant number, since it is smaller than the sum of its proper divisors (162466976).

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

104074000 is a wasteful number, since it uses less digits than its factorization.

104074000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3101 (or 3085 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 104074000 is about 10201.6665305233. Note that the first 3 decimals coincide. The cubic root of 104074000 is about 470.3784487712.

The spelling of 104074000 in words is "one hundred four million, seventy-four thousand".