105314126012004 has 288 divisors, whose sum is σ = 313330162252800. Its totient is φ = 27281205181440.

The previous prime is 105314126011999. The next prime is 105314126012057. The reversal of 105314126012004 is 400210621413501.

It is a super-2 number, since 2×105314126012004² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 330436077 + ... + 330754635.

Almost surely, 2^{105314126012004} is an apocalyptic number.

105314126012004 is a gapful number since it is divisible by the number (14) 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 105314126012004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156665081126400).

105314126012004 is an abundant number, since it is smaller than the sum of its proper divisors (208016036240796).

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

105314126012004 is a wasteful number, since it uses less digits than its factorization.

105314126012004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319363 (or 319354 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 105314126012004 its reverse (400210621413501), we get a palindrome (505524747425505).

The spelling of 105314126012004 in words is "one hundred five trillion, three hundred fourteen billion, one hundred twenty-six million, twelve thousand, four".