104766564 has 96 divisors (see below), whose sum is σ = 294045696. Its totient is φ = 28385280.

The previous prime is 104766559. The next prime is 104766569. The reversal of 104766564 is 465667401.

104766564 is nontrivially palindromic in base 15.

It is an interprime number because it is at equal distance from previous prime (104766559) and next prime (104766569).

It is not an unprimeable number, because it can be changed into a prime (104766569) 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, 407524 + ... + 407780.

It is an arithmetic number, because the mean of its divisors is an integer number (3062976).

Almost surely, 2^104766564 is an apocalyptic number.

104766564 is a gapful number since it is divisible by the number (14) 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 104766564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147022848).

104766564 is an abundant number, since it is smaller than the sum of its proper divisors (189279132).

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

104766564 is a wasteful number, since it uses less digits than its factorization.

104766564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 104766564 is about 10235.5539175953. The cubic root of 104766564 is about 471.4195260497.

The spelling of 104766564 in words is "one hundred four million, seven hundred sixty-six thousand, five hundred sixty-four".