10506220 has 24 divisors (see below), whose sum is σ = 22126608. Its totient is φ = 4190400.

The previous prime is 10506211. The next prime is 10506227. The reversal of 10506220 is 2260501.

It is a happy number.

10506220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10506220² = 220761317376800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10506194 and 10506203.

It is not an unprimeable number, because it can be changed into a prime (10506227) 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, 10335 + ... + 11305.

It is an arithmetic number, because the mean of its divisors is an integer number (921942).

Almost surely, 2^10506220 is an apocalyptic number.

10506220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10506220 is an abundant number, since it is smaller than the sum of its proper divisors (11620388).

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

10506220 is a wasteful number, since it uses less digits than its factorization.

10506220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1521 (or 1519 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 10506220 is about 3241.3299739459. The cubic root of 10506220 is about 219.0191875212.

Adding to 10506220 its reverse (2260501), we get a palindrome (12766721).

The spelling of 10506220 in words is "ten million, five hundred six thousand, two hundred twenty".