10711116 has 60 divisors (see below), whose sum is σ = 30166752. Its totient is φ = 3294432.

The previous prime is 10711109. The next prime is 10711147. The reversal of 10711116 is 61111701.

It is a super-2 number, since 2×10711116² = 229456011930912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2941 + ... + 5483.

Almost surely, 2^10711116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10711116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15083376).

10711116 is an abundant number, since it is smaller than the sum of its proper divisors (19455636).

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

10711116 is a wasteful number, since it uses less digits than its factorization.

10711116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2572 (or 2561 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 18.

The square root of 10711116 is about 3272.7841358696. The cubic root of 10711116 is about 220.4338271515.

Adding to 10711116 its reverse (61111701), we get a palindrome (71822817).

It can be divided in two parts, 1071 and 1116, that added together give a 7-th power (2187 = 3⁷).

The spelling of 10711116 in words is "ten million, seven hundred eleven thousand, one hundred sixteen".