104897664 has 192 divisors, whose sum is σ = 326514240. Its totient is φ = 32237568.

The previous prime is 104897659. The next prime is 104897677. The reversal of 104897664 is 466798401.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×104897664² = 22007039825313792, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 980299 + ... + 980405.

It is an arithmetic number, because the mean of its divisors is an integer number (1700595).

Almost surely, 2^104897664 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 104897664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163257120).

104897664 is an abundant number, since it is smaller than the sum of its proper divisors (221616576).

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

104897664 is a wasteful number, since it uses less digits than its factorization.

104897664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 104897664 is about 10241.9560631747. The cubic root of 104897664 is about 471.6160815672.

The spelling of 104897664 in words is "one hundred four million, eight hundred ninety-seven thousand, six hundred sixty-four".