104696064 has 288 divisors, whose sum is σ = 362033280. Its totient is φ = 29859840.

The previous prime is 104696029. The next prime is 104696071. The reversal of 104696064 is 460696401.

104696064 is a `hidden beast` number, since 1 + 0 + 46 + 9 + 606 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×104696064² = 21922531634184192, 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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6158584 + ... + 6158600.

It is an arithmetic number, because the mean of its divisors is an integer number (1257060).

Almost surely, 2^104696064 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 104696064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181016640).

104696064 is an abundant number, since it is smaller than the sum of its proper divisors (257337216).

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

104696064 is an frugal number, since it uses more digits than its factorization.

104696064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 104696064 is about 10232.1094599305. The cubic root of 104696064 is about 471.3137590537.

The spelling of 104696064 in words is "one hundred four million, six hundred ninety-six thousand, sixty-four".