104512464 has 320 divisors, whose sum is σ = 385689600. Its totient is φ = 26376192.

The previous prime is 104512451. The next prime is 104512493. The reversal of 104512464 is 464215401.

104512464 is a `hidden beast` number, since 104 + 512 + 46 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 976699 + ... + 976805.

It is an arithmetic number, because the mean of its divisors is an integer number (1205280).

Almost surely, 2^104512464 is an apocalyptic number.

104512464 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 104512464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192844800).

104512464 is an abundant number, since it is smaller than the sum of its proper divisors (281177136).

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

104512464 is a wasteful number, since it uses less digits than its factorization.

104512464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 104512464 is about 10223.1337661208. The cubic root of 104512464 is about 471.0380917710.

Adding to 104512464 its reverse (464215401), we get a palindrome (568727865).

It can be divided in two parts, 104512 and 464, that added together give a 4-th power (104976 = 18⁴).

The spelling of 104512464 in words is "one hundred four million, five hundred twelve thousand, four hundred sixty-four".