104736000 has 144 divisors (see below), whose sum is σ = 348199488. Its totient is φ = 27904000.

The previous prime is 104735989. The next prime is 104736007. The reversal of 104736000 is 637401.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104736007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95455 + ... + 96545.

It is an arithmetic number, because the mean of its divisors is an integer number (2418052).

Almost surely, 2^104736000 is an apocalyptic number.

104736000 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 104736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174099744).

104736000 is an abundant number, since it is smaller than the sum of its proper divisors (243463488).

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

104736000 is an equidigital number, since it uses as much as digits as its factorization.

104736000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 104736000 is about 10234.0607776190. The cubic root of 104736000 is about 471.3736785095.

The spelling of 104736000 in words is "one hundred four million, seven hundred thirty-six thousand".