105242200 has 72 divisors (see below), whose sum is σ = 284663700. Its totient is φ = 36079680.

The previous prime is 105242183. The next prime is 105242209. The reversal of 105242200 is 2242501.

It is a super-2 number, since 2×105242200² = 22151841321680000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105242209) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4431 + ... + 15169.

Almost surely, 2^105242200 is an apocalyptic number.

105242200 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 105242200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142331850).

105242200 is an abundant number, since it is smaller than the sum of its proper divisors (179421500).

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

105242200 is a wasteful number, since it uses less digits than its factorization.

105242200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10769 (or 10753 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 105242200 is about 10258.7621085587. The cubic root of 105242200 is about 472.1318577314.

Adding to 105242200 its reverse (2242501), we get a palindrome (107484701).

The spelling of 105242200 in words is "one hundred five million, two hundred forty-two thousand, two hundred".