104776704 has 66 divisors (see below), whose sum is σ = 302567070. Its totient is φ = 34922496.

The previous prime is 104776703. The next prime is 104776709. The reversal of 104776704 is 407677401.

It can be written as a sum of positive squares in only one way, i.e., 92160000 + 12616704 = 9600^2 + 3552^2 .

It is a super-2 number, since 2×104776704² = 21956315402207232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104776703) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3532 + ... + 14900.

Almost surely, 2^104776704 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 104776704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151283535).

104776704 is an abundant number, since it is smaller than the sum of its proper divisors (197790366).

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

104776704 is a wasteful number, since it uses less digits than its factorization.

104776704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11395 (or 11374 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 104776704 is about 10236.0492378652. The cubic root of 104776704 is about 471.4347345908.

The spelling of 104776704 in words is "one hundred four million, seven hundred seventy-six thousand, seven hundred four".