104742400 has 180 divisors, whose sum is σ = 303683688. Its totient is φ = 35696640.

The previous prime is 104742377. The next prime is 104742401. The reversal of 104742400 is 4247401.

It is a nialpdrome in base 14.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104742401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 627117 + ... + 627283.

Almost surely, 2^104742400 is an apocalyptic number.

104742400 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 104742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151841844).

104742400 is an abundant number, since it is smaller than the sum of its proper divisors (198941288).

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

104742400 is an equidigital number, since it uses as much as digits as its factorization.

104742400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 22.

The square root of 104742400 is about 10234.3734541984. The cubic root of 104742400 is about 471.3832795703.

Adding to 104742400 its reverse (4247401), we get a palindrome (108989801).

The spelling of 104742400 in words is "one hundred four million, seven hundred forty-two thousand, four hundred".