10800117 has 12 divisors (see below), whose sum is σ = 16518060. Its totient is φ = 6776448.

The previous prime is 10800109. The next prime is 10800137. The reversal of 10800117 is 71100801.

It can be written as a sum of positive squares in 2 ways, for example, as 5574321 + 5225796 = 2361^2 + 2286^2 .

It is not a de Polignac number, because 10800117 - 2³ = 10800109 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10800117.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10800137) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35142 + ... + 35447.

It is an arithmetic number, because the mean of its divisors is an integer number (1376505).

Almost surely, 2^10800117 is an apocalyptic number.

10800117 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

10800117 is a deficient number, since it is larger than the sum of its proper divisors (5717943).

10800117 is a wasteful number, since it uses less digits than its factorization.

10800117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70612 (or 70609 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 18.

The square root of 10800117 is about 3286.3531459659. The cubic root of 10800117 is about 221.0426881224.

Adding to 10800117 its reverse (71100801), we get a palindrome (81900918).

The spelling of 10800117 in words is "ten million, eight hundred thousand, one hundred seventeen".