13107948 has 96 divisors (see below), whose sum is σ = 37847040. Its totient is φ = 3447360.

The previous prime is 13107943. The next prime is 13107959. The reversal of 13107948 is 84970131.

It is not an unprimeable number, because it can be changed into a prime (13107943) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68533 + ... + 68723.

It is an arithmetic number, because the mean of its divisors is an integer number (394240).

Almost surely, 2^13107948 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13107948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18923520).

13107948 is an abundant number, since it is smaller than the sum of its proper divisors (24739092).

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

13107948 is a wasteful number, since it uses less digits than its factorization.

13107948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 13107948 is about 3620.4900220826. The cubic root of 13107948 is about 235.7825009441.

The spelling of 13107948 in words is "thirteen million, one hundred seven thousand, nine hundred forty-eight".