10506225 has 24 divisors (see below), whose sum is σ = 17623872. Its totient is φ = 5521600.

The previous prime is 10506211. The next prime is 10506227. The reversal of 10506225 is 52260501.

10506225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10506225 - 2¹⁵ = 10473457 is a prime.

It is a super-2 number, since 2×10506225² = 220761527501250, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 4339 + ... + 6311.

It is an arithmetic number, because the mean of its divisors is an integer number (734328).

Almost surely, 2^10506225 is an apocalyptic number.

10506225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10506225 is a deficient number, since it is larger than the sum of its proper divisors (7117647).

10506225 is a wasteful number, since it uses less digits than its factorization.

10506225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2057 (or 2052 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 10506225 is about 3241.3307452341. The cubic root of 10506225 is about 219.0192222656.

Adding to 10506225 its reverse (52260501), we get a palindrome (62766726).

It can be divided in two parts, 10506 and 225, that added together give a triangular number (10731 = T₁₄₆).

The spelling of 10506225 in words is "ten million, five hundred six thousand, two hundred twenty-five".