13105104912 has 160 divisors (see below), whose sum is σ = 38110953600. Its totient is φ = 4311286272.

The previous prime is 13105104907. The next prime is 13105104917. The reversal of 13105104912 is 21940150131.

It is a happy number.

13105104912 is a `hidden beast` number, since 131 + 0 + 510 + 4 + 9 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (13105104907) and next prime (13105104917).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13105104917) 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, 23527738 + ... + 23528294.

It is an arithmetic number, because the mean of its divisors is an integer number (238193460).

Almost surely, 2^13105104912 is an apocalyptic number.

13105104912 is a gapful number since it is divisible by the number (12) 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 13105104912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19055476800).

13105104912 is an abundant number, since it is smaller than the sum of its proper divisors (25005848688).

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

13105104912 is a wasteful number, since it uses less digits than its factorization.

13105104912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1190 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 13105104912 in words is "thirteen billion, one hundred five million, one hundred four thousand, nine hundred twelve".