105683200 has 162 divisors, whose sum is σ = 305192706. Its totient is φ = 36126720.

The previous prime is 105683197. The next prime is 105683233. The reversal of 105683200 is 2386501.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1806336 + 103876864 = 1344^2 + 10192^2 .

It is a super-2 number, since 2×105683200² = 22337877524480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 313432 + ... + 313768.

Almost surely, 2^105683200 is an apocalyptic number.

105683200 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 105683200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152596353).

105683200 is an abundant number, since it is smaller than the sum of its proper divisors (199509506).

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

105683200 is an equidigital number, since it uses as much as digits as its factorization.

105683200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 105683200 is about 10280.2334603841. The cubic root of 105683200 is about 472.7904021841.

The spelling of 105683200 in words is "one hundred five million, six hundred eighty-three thousand, two hundred".