10735116 has 36 divisors (see below), whose sum is σ = 29139768. Its totient is φ = 3067008.

The previous prime is 10735111. The next prime is 10735159. The reversal of 10735116 is 61153701.

It is not an unprimeable number, because it can be changed into a prime (10735111) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 8541 + ... + 9716.

It is an arithmetic number, because the mean of its divisors is an integer number (809438).

Almost surely, 2^10735116 is an apocalyptic number.

It is an amenable number.

10735116 is an abundant number, since it is smaller than the sum of its proper divisors (18404652).

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

10735116 is a wasteful number, since it uses less digits than its factorization.

10735116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18278 (or 18269 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 10735116 is about 3276.4486872222. The cubic root of 10735116 is about 220.5983436351.

Adding to 10735116 its reverse (61153701), we get a palindrome (71888817).

The spelling of 10735116 in words is "ten million, seven hundred thirty-five thousand, one hundred sixteen".