105720240 has 40 divisors (see below), whose sum is σ = 327733488. Its totient is φ = 28192000.

The previous prime is 105720227. The next prime is 105720253. The reversal of 105720240 is 42027501.

It is an interprime number because it is at equal distance from previous prime (105720227) and next prime (105720253).

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×105720240² = 22353538291315200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 220011 + ... + 220490.

Almost surely, 2^105720240 is an apocalyptic number.

105720240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105720240 is an abundant number, since it is smaller than the sum of its proper divisors (222013248).

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

105720240 is a wasteful number, since it uses less digits than its factorization.

105720240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440517 (or 440511 counting only the distinct ones).

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

The square root of 105720240 is about 10282.0348180698. The cubic root of 105720240 is about 472.8456304860.

Adding to 105720240 its reverse (42027501), we get a palindrome (147747741).

The spelling of 105720240 in words is "one hundred five million, seven hundred twenty thousand, two hundred forty".