105355200 has 168 divisors, whose sum is σ = 353763072. Its totient is φ = 27438080.

The previous prime is 105355193. The next prime is 105355207. The reversal of 105355200 is 2553501.

It is an interprime number because it is at equal distance from previous prime (105355193) and next prime (105355207).

It is a super-2 number, since 2×105355200² = 22199436334080000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105355207) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 225367 + ... + 225833.

Almost surely, 2^105355200 is an apocalyptic number.

105355200 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 105355200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176881536).

105355200 is an abundant number, since it is smaller than the sum of its proper divisors (248407872).

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

105355200 is a wasteful number, since it uses less digits than its factorization.

105355200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 21.

The square root of 105355200 is about 10264.2681180881. The cubic root of 105355200 is about 472.3007754493.

The spelling of 105355200 in words is "one hundred five million, three hundred fifty-five thousand, two hundred".