105503220 has 36 divisors (see below), whose sum is σ = 320026980. Its totient is φ = 28134144.

The previous prime is 105503201. The next prime is 105503263. The reversal of 105503220 is 22305501.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 53056656 + 52446564 = 7284^2 + 7242^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×105503220² = 22261858860736800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 105503193 and 105503202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 292885 + ... + 293244.

Almost surely, 2^105503220 is an apocalyptic number.

105503220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105503220 is an abundant number, since it is smaller than the sum of its proper divisors (214523760).

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

105503220 is a wasteful number, since it uses less digits than its factorization.

105503220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586144 (or 586139 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 105503220 is about 10271.4760380385. The cubic root of 105503220 is about 472.5218600787.

Adding to 105503220 its reverse (22305501), we get a palindrome (127808721).

The spelling of 105503220 in words is "one hundred five million, five hundred three thousand, two hundred twenty".