10711125 has 24 divisors (see below), whose sum is σ = 19310616. Its totient is φ = 5712000.

The previous prime is 10711109. The next prime is 10711147. The reversal of 10711125 is 52111701.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 617796 + 10093329 = 786^2 + 3177^2 .

It is not a de Polignac number, because 10711125 - 2⁴ = 10711109 is a prime.

It is a super-2 number, since 2×10711125² = 229456397531250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10711098 and 10711107.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 3636 + ... + 5885.

It is an arithmetic number, because the mean of its divisors is an integer number (804609).

Almost surely, 2^10711125 is an apocalyptic number.

10711125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10711125 is a deficient number, since it is larger than the sum of its proper divisors (8599491).

10711125 is an equidigital number, since it uses as much as digits as its factorization.

10711125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9542 (or 9529 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 18.

The square root of 10711125 is about 3272.7855108455. The cubic root of 10711125 is about 220.4338888912.

Adding to 10711125 its reverse (52111701), we get a palindrome (62822826).

The spelling of 10711125 in words is "ten million, seven hundred eleven thousand, one hundred twenty-five".