105681600 has 252 divisors, whose sum is σ = 386928360. Its totient is φ = 27340800.

The previous prime is 105681581. The next prime is 105681601. The reversal of 105681600 is 6186501.

105681600 is a `hidden beast` number, since 1 + 0 + 56 + 8 + 1 + 600 = 666.

It is a super-2 number, since 2×105681600² = 22337201157120000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105681601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 590311 + ... + 590489.

It is an arithmetic number, because the mean of its divisors is an integer number (1535430).

Almost surely, 2^105681600 is an apocalyptic number.

105681600 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 105681600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193464180).

105681600 is an abundant number, since it is smaller than the sum of its proper divisors (281246760).

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

105681600 is a wasteful number, since it uses less digits than its factorization.

105681600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 105681600 is about 10280.1556408451. The cubic root of 105681600 is about 472.7880162216.

The spelling of 105681600 in words is "one hundred five million, six hundred eighty-one thousand, six hundred".