104561664 has 88 divisors (see below), whose sum is σ = 282289488. Its totient is φ = 34406400.

The previous prime is 104561663. The next prime is 104561669. The reversal of 104561664 is 466165401.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104561663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 310104 + ... + 310440.

Almost surely, 2^104561664 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 104561664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141144744).

104561664 is an abundant number, since it is smaller than the sum of its proper divisors (177727824).

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

104561664 is a wasteful number, since it uses less digits than its factorization.

104561664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 104561664 is about 10225.5397901529. The cubic root of 104561664 is about 471.1119950407. Note that the first 3 decimals are identical.

The spelling of 104561664 in words is "one hundred four million, five hundred sixty-one thousand, six hundred sixty-four".