105240040 has 32 divisors (see below), whose sum is σ = 244431360. Its totient is φ = 40737600.

The previous prime is 105240017. The next prime is 105240061. The reversal of 105240040 is 40042501.

It is a super-2 number, since 2×105240040² = 22150932038403200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105239996 and 105240023.

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, 41196 + ... + 43675.

It is an arithmetic number, because the mean of its divisors is an integer number (7638480).

Almost surely, 2^105240040 is an apocalyptic number.

105240040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105240040 is an abundant number, since it is smaller than the sum of its proper divisors (139191320).

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

105240040 is a wasteful number, since it uses less digits than its factorization.

105240040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84913 (or 84909 counting only the distinct ones).

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

The square root of 105240040 is about 10258.6568321589. The cubic root of 105240040 is about 472.1286276843.

Adding to 105240040 its reverse (40042501), we get a palindrome (145282541).

The spelling of 105240040 in words is "one hundred five million, two hundred forty thousand, forty".