105003220 has 48 divisors (see below), whose sum is σ = 266837760. Its totient is φ = 33882624.

The previous prime is 105003209. The next prime is 105003259. The reversal of 105003220 is 22300501.

It is a super-2 number, since 2×105003220² = 22051352420736800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105003220.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19680 + ... + 24439.

It is an arithmetic number, because the mean of its divisors is an integer number (5559120).

Almost surely, 2^105003220 is an apocalyptic number.

105003220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105003220 is an abundant number, since it is smaller than the sum of its proper divisors (161834540).

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

105003220 is a wasteful number, since it uses less digits than its factorization.

105003220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44152 (or 44150 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 105003220 is about 10247.1078846668. The cubic root of 105003220 is about 471.7742205140.

Adding to 105003220 its reverse (22300501), we get a palindrome (127303721).

The spelling of 105003220 in words is "one hundred five million, three thousand, two hundred twenty".