104781600 has 648 divisors, whose sum is σ = 486250128. Its totient is φ = 21772800.

The previous prime is 104781563. The next prime is 104781653. The reversal of 104781600 is 6187401.

It is a happy number.

104781600 is a `hidden beast` number, since 10 + 47 + 8 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 9525595 + ... + 9525605.

It is an arithmetic number, because the mean of its divisors is an integer number (750386).

Almost surely, 2^104781600 is an apocalyptic number.

104781600 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 104781600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243125064).

104781600 is an abundant number, since it is smaller than the sum of its proper divisors (381468528).

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

104781600 is a wasteful number, since it uses less digits than its factorization.

104781600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 104781600 is about 10236.2883898413. The cubic root of 104781600 is about 471.4420775351.

The spelling of 104781600 in words is "one hundred four million, seven hundred eighty-one thousand, six hundred".