10116810 has 72 divisors (see below), whose sum is σ = 28943460. Its totient is φ = 2449920.

The previous prime is 10116793. The next prime is 10116811. The reversal of 10116810 is 1861101.

It can be written as a sum of positive squares in 2 ways, for example, as 8625969 + 1490841 = 2937^2 + 1221^2 .

It is a super-2 number, since 2×10116810² = 204699689152200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10116811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10426 + ... + 11354.

Almost surely, 2^10116810 is an apocalyptic number.

10116810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10116810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14471730).

10116810 is an abundant number, since it is smaller than the sum of its proper divisors (18826650).

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

10116810 is a wasteful number, since it uses less digits than its factorization.

10116810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

The square root of 10116810 is about 3180.6933206457. The cubic root of 10116810 is about 216.2790888287.

Adding to 10116810 its reverse (1861101), we get a palindrome (11977911).

The spelling of 10116810 in words is "ten million, one hundred sixteen thousand, eight hundred ten".