103005220 has 24 divisors (see below), whose sum is σ = 217103544. Its totient is φ = 41051136.

The previous prime is 103005191. The next prime is 103005229. The reversal of 103005220 is 22500301.

It can be written as a sum of positive squares in 4 ways, for example, as 3444736 + 99560484 = 1856^2 + 9978^2 .

It is a super-2 number, since 2×103005220² = 21220150694496800, 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 103005220.

It is not an unprimeable number, because it can be changed into a prime (103005229) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3757 + ... + 14836.

It is an arithmetic number, because the mean of its divisors is an integer number (9045981).

Almost surely, 2^103005220 is an apocalyptic number.

103005220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103005220 is an abundant number, since it is smaller than the sum of its proper divisors (114098324).

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

103005220 is a wasteful number, since it uses less digits than its factorization.

103005220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18879 (or 18877 counting only the distinct ones).

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

The square root of 103005220 is about 10149.1487327756. The cubic root of 103005220 is about 468.7627334022.

Adding to 103005220 its reverse (22500301), we get a palindrome (125505521).

The spelling of 103005220 in words is "one hundred three million, five thousand, two hundred twenty".