13105080 has 96 divisors (see below), whose sum is σ = 43383600. Its totient is φ = 3429888.

The previous prime is 13105051. The next prime is 13105091. The reversal of 13105080 is 8050131.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20932 + ... + 21548.

Almost surely, 2^13105080 is an apocalyptic number.

13105080 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 13105080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21691800).

13105080 is an abundant number, since it is smaller than the sum of its proper divisors (30278520).

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

13105080 is a wasteful number, since it uses less digits than its factorization.

13105080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 686 counting only the distinct ones).

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

The square root of 13105080 is about 3620.0939214335. The cubic root of 13105080 is about 235.7653034001.

The spelling of 13105080 in words is "thirteen million, one hundred five thousand, eighty".