104854464 has 336 divisors, whose sum is σ = 377220480. Its totient is φ = 27371520.

The previous prime is 104854439. The next prime is 104854471. The reversal of 104854464 is 464458401.

It is a happy number.

104854464 is a `hidden beast` number, since 10 + 48 + 544 + 64 = 666.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1564959 + ... + 1565025.

It is an arithmetic number, because the mean of its divisors is an integer number (1122680).

Almost surely, 2^104854464 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 104854464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188610240).

104854464 is an abundant number, since it is smaller than the sum of its proper divisors (272366016).

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

104854464 is a wasteful number, since it uses less digits than its factorization.

104854464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 104854464 is about 10239.8468738551. The cubic root of 104854464 is about 471.5513308014.

The spelling of 104854464 in words is "one hundred four million, eight hundred fifty-four thousand, four hundred sixty-four".