105200240 has 20 divisors (see below), whose sum is σ = 244590744. Its totient is φ = 42080064.

The previous prime is 105200237. The next prime is 105200243. The reversal of 105200240 is 42002501.

It is an interprime number because it is at equal distance from previous prime (105200237) and next prime (105200243).

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×105200240² = 22134180992115200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105200243) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 657422 + ... + 657581.

Almost surely, 2^105200240 is an apocalyptic number.

105200240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105200240 is an abundant number, since it is smaller than the sum of its proper divisors (139390504).

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

105200240 is a wasteful number, since it uses less digits than its factorization.

105200240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1315016 (or 1315010 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 105200240 is about 10256.7168236234. The cubic root of 105200240 is about 472.0691031641.

Adding to 105200240 its reverse (42002501), we get a palindrome (147202741).

The spelling of 105200240 in words is "one hundred five million, two hundred thousand, two hundred forty".