105035240 has 64 divisors (see below), whose sum is σ = 245203200. Its totient is φ = 40465152.

The previous prime is 105035239. The next prime is 105035251. The reversal of 105035240 is 42530501.

It is a super-2 number, since 2×105035240² = 22064803283715200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135494 + ... + 136266.

It is an arithmetic number, because the mean of its divisors is an integer number (3831300).

Almost surely, 2^105035240 is an apocalyptic number.

105035240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105035240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122601600).

105035240 is an abundant number, since it is smaller than the sum of its proper divisors (140167960).

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

105035240 is a wasteful number, since it uses less digits than its factorization.

105035240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 105035240 is about 10248.6701576351. The cubic root of 105035240 is about 471.8221703936.

Adding to 105035240 its reverse (42530501), we get a palindrome (147565741).

The spelling of 105035240 in words is "one hundred five million, thirty-five thousand, two hundred forty".