104601600 has 216 divisors, whose sum is σ = 376264980. Its totient is φ = 27770880.

The previous prime is 104601583. The next prime is 104601613. The reversal of 104601600 is 6106401.

104601600 = T₁₈₄ + T₁₈₅ + ... + T₈₅₈.

104601600 is a `hidden beast` number, since 1 + 0 + 4 + 60 + 1 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 17 ways as a sum of consecutive naturals, for example, 460687 + ... + 460913.

Almost surely, 2^104601600 is an apocalyptic number.

104601600 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 104601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188132490).

104601600 is an abundant number, since it is smaller than the sum of its proper divisors (271663380).

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

104601600 is a wasteful number, since it uses less digits than its factorization.

104601600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 104601600 is about 10227.4923612780. The cubic root of 104601600 is about 471.1719658214.

The spelling of 104601600 in words is "one hundred four million, six hundred one thousand, six hundred".