105742200 has 48 divisors (see below), whose sum is σ = 327802680. Its totient is φ = 28197760.

The previous prime is 105742199. The next prime is 105742213. The reversal of 105742200 is 2247501.

It is a super-2 number, since 2×105742200² = 22362825721680000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87519 + ... + 88718.

Almost surely, 2^105742200 is an apocalyptic number.

105742200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105742200 is an abundant number, since it is smaller than the sum of its proper divisors (222060480).

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

105742200 is a wasteful number, since it uses less digits than its factorization.

105742200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176256 (or 176247 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 105742200 is about 10283.1026446302. The cubic root of 105742200 is about 472.8783677403.

Adding to 105742200 its reverse (2247501), we get a palindrome (107989701).

The spelling of 105742200 in words is "one hundred five million, seven hundred forty-two thousand, two hundred".