104701600 has 72 divisors (see below), whose sum is σ = 264475260. Its totient is φ = 40427520.

The previous prime is 104701567. The next prime is 104701607. The reversal of 104701600 is 6107401.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 7639696 + 97061904 = 2764^2 + 9852^2 .

It is not an unprimeable number, because it can be changed into a prime (104701607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20944 + ... + 25456.

Almost surely, 2^104701600 is an apocalyptic number.

104701600 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 104701600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132237630).

104701600 is an abundant number, since it is smaller than the sum of its proper divisors (159773660).

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

104701600 is a wasteful number, since it uses less digits than its factorization.

104701600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4562 (or 4549 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 104701600 is about 10232.3799773073. The cubic root of 104701600 is about 471.3220661058.

The spelling of 104701600 in words is "one hundred four million, seven hundred one thousand, six hundred".