103220010 has 96 divisors (see below), whose sum is σ = 278853120. Its totient is φ = 26469504.

The previous prime is 103220003. The next prime is 103220041. The reversal of 103220010 is 10022301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 103219974 and 103220001.

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 47 ways as a sum of consecutive naturals, for example, 462759 + ... + 462981.

It is an arithmetic number, because the mean of its divisors is an integer number (2904720).

Almost surely, 2^103220010 is an apocalyptic number.

103220010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103220010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139426560).

103220010 is an abundant number, since it is smaller than the sum of its proper divisors (175633110).

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

103220010 is a wasteful number, since it uses less digits than its factorization.

103220010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 103220010 is about 10159.7248978503. The cubic root of 103220010 is about 469.0883338723.

Adding to 103220010 its reverse (10022301), we get a palindrome (113242311).

The spelling of 103220010 in words is "one hundred three million, two hundred twenty thousand, ten".