105203640 has 64 divisors (see below), whose sum is σ = 316483200. Its totient is φ = 27976832.

The previous prime is 105203621. The next prime is 105203647. The reversal of 105203640 is 46302501.

It is a happy number.

It is a super-2 number, since 2×105203640² = 22135611738499200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105203647) by changing a digit.

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, 52171 + ... + 54149.

It is an arithmetic number, because the mean of its divisors is an integer number (4945050).

Almost surely, 2^105203640 is an apocalyptic number.

105203640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105203640 is an abundant number, since it is smaller than the sum of its proper divisors (211279560).

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

105203640 is a wasteful number, since it uses less digits than its factorization.

105203640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2436 (or 2432 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 105203640 is about 10256.8825673301. The cubic root of 105203640 is about 472.0741887598.

The spelling of 105203640 in words is "one hundred five million, two hundred three thousand, six hundred forty".