104655456 has 96 divisors (see below), whose sum is σ = 308901600. Its totient is φ = 34467840.

The previous prime is 104655437. The next prime is 104655527. The reversal of 104655456 is 654556401.

104655456 is a `hidden beast` number, since 10 + 46 + 554 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 104655456.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76216 + ... + 77576.

It is an arithmetic number, because the mean of its divisors is an integer number (3217725).

Almost surely, 2^104655456 is an apocalyptic number.

104655456 is a gapful number since it is divisible by the number (16) 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 104655456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154450800).

104655456 is an abundant number, since it is smaller than the sum of its proper divisors (204246144).

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

104655456 is a wasteful number, since it uses less digits than its factorization.

104655456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1469 (or 1455 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 104655456 is about 10230.1249259234. The cubic root of 104655456 is about 471.2528157116.

It can be divided in two parts, 104655 and 456, that added together give a triangular number (105111 = T₄₅₈).

The spelling of 104655456 in words is "one hundred four million, six hundred fifty-five thousand, four hundred fifty-six".