13105800 has 120 divisors (see below), whose sum is σ = 45574650. Its totient is φ = 3490560.

The previous prime is 13105753. The next prime is 13105811. The reversal of 13105800 is 850131.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 11819844 + 1285956 = 3438^2 + 1134^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 15796 + ... + 16604.

Almost surely, 2^13105800 is an apocalyptic number.

13105800 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 13105800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22787325).

13105800 is an abundant number, since it is smaller than the sum of its proper divisors (32468850).

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

13105800 is a wasteful number, since it uses less digits than its factorization.

13105800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 13105800 is about 3620.1933650014. The cubic root of 13105800 is about 235.7696210111.

Adding to 13105800 its reverse (850131), we get a palindrome (13955931).

The spelling of 13105800 in words is "thirteen million, one hundred five thousand, eight hundred".