105861600 has 432 divisors, whose sum is σ = 428878800. Its totient is φ = 25159680.

The previous prime is 105861599. The next prime is 105861619. The reversal of 105861600 is 6168501.

105861600 is a `hidden beast` number, since 1 + 0 + 58 + 6 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×105861600² = 22413356709120000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3650386 + ... + 3650414.

It is an arithmetic number, because the mean of its divisors is an integer number (992775).

Almost surely, 2^105861600 is an apocalyptic number.

105861600 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 105861600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214439400).

105861600 is an abundant number, since it is smaller than the sum of its proper divisors (323017200).

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

105861600 is a wasteful number, since it uses less digits than its factorization.

105861600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 52 counting only the distinct ones).

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

The square root of 105861600 is about 10288.9066474529. The cubic root of 105861600 is about 473.0562861084.

The spelling of 105861600 in words is "one hundred five million, eight hundred sixty-one thousand, six hundred".