104468000 has 288 divisors, whose sum is σ = 329395248. Its totient is φ = 32256000.

The previous prime is 104467973. The next prime is 104468003. The reversal of 104468000 is 864401.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 8976016 + 95491984 = 2996^2 + 9772^2 .

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (104468003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2547980 + ... + 2548020.

Almost surely, 2^104468000 is an apocalyptic number.

104468000 is a gapful number since it is divisible by the number (10) 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 104468000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164697624).

104468000 is an abundant number, since it is smaller than the sum of its proper divisors (224927248).

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

104468000 is a wasteful number, since it uses less digits than its factorization.

104468000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 104468000 is about 10220.9588591286. The cubic root of 104468000 is about 470.9712824872.

The spelling of 104468000 in words is "one hundred four million, four hundred sixty-eight thousand".