10115800 has 48 divisors (see below), whose sum is σ = 24172560. Its totient is φ = 3934080.

The previous prime is 10115789. The next prime is 10115803. The reversal of 10115800 is 851101.

10115800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10115803) 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, 6717 + ... + 8083.

It is an arithmetic number, because the mean of its divisors is an integer number (503595).

Almost surely, 2^10115800 is an apocalyptic number.

10115800 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 10115800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12086280).

10115800 is an abundant number, since it is smaller than the sum of its proper divisors (14056760).

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

10115800 is a wasteful number, since it uses less digits than its factorization.

10115800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1420 (or 1411 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 16.

The square root of 10115800 is about 3180.5345462673. The cubic root of 10115800 is about 216.2718912651.

Adding to 10115800 its reverse (851101), we get a palindrome (10966901).

The spelling of 10115800 in words is "ten million, one hundred fifteen thousand, eight hundred".