105117240 has 64 divisors (see below), whose sum is σ = 316087200. Its totient is φ = 27965952.

The previous prime is 105117217. The next prime is 105117269. The reversal of 105117240 is 42711501.

It is a happy number.

It is a super-2 number, since 2×105117240² = 22099268290435200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72846 + ... + 74274.

Almost surely, 2^105117240 is an apocalyptic number.

105117240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105117240 is an abundant number, since it is smaller than the sum of its proper divisors (210969960).

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

105117240 is a wasteful number, since it uses less digits than its factorization.

105117240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2056 (or 2052 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 105117240 is about 10252.6698961783. The cubic root of 105117240 is about 471.9449207969.

Adding to 105117240 its reverse (42711501), we get a palindrome (147828741).

The spelling of 105117240 in words is "one hundred five million, one hundred seventeen thousand, two hundred forty".