10106800 has 60 divisors (see below), whose sum is σ = 26500536. Its totient is φ = 3673600.

The previous prime is 10106797. The next prime is 10106801. The reversal of 10106800 is 860101.

10106800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10106801) 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, 3252 + ... + 5548.

Almost surely, 2^10106800 is an apocalyptic number.

10106800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10106800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13250268).

10106800 is an abundant number, since it is smaller than the sum of its proper divisors (16393736).

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

10106800 is a wasteful number, since it uses less digits than its factorization.

10106800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2326 (or 2315 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 10106800 is about 3179.1193749213. The cubic root of 10106800 is about 216.2077333947.

Adding to 10106800 its reverse (860101), we get a palindrome (10966901).

The spelling of 10106800 in words is "ten million, one hundred six thousand, eight hundred".