104576208 has 160 divisors (see below), whose sum is σ = 311444352. Its totient is φ = 29952000.

The previous prime is 104576203. The next prime is 104576243. The reversal of 104576208 is 802675401.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104576203) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1035358 + ... + 1035458.

Almost surely, 2^104576208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104576208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155722176).

104576208 is an abundant number, since it is smaller than the sum of its proper divisors (206868144).

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

104576208 is a wasteful number, since it uses less digits than its factorization.

104576208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 104576208 is about 10226.2509259259. The cubic root of 104576208 is about 471.1338371287.

The spelling of 104576208 in words is "one hundred four million, five hundred seventy-six thousand, two hundred eight".