105133588816314 has 16 divisors (see below), whose sum is σ = 221333871192480. Its totient is φ = 33200080678800.

The previous prime is 105133588816313. The next prime is 105133588816339. The reversal of 105133588816314 is 413618885331501.

It is a super-4 number, since 4×105133588816314⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (105133588816313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 461112231537 + ... + 461112231764.

It is an arithmetic number, because the mean of its divisors is an integer number (13833366949530).

Almost surely, 2^{105133588816314} is an apocalyptic number.

105133588816314 is an abundant number, since it is smaller than the sum of its proper divisors (116200282376166).

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

105133588816314 is a wasteful number, since it uses less digits than its factorization.

105133588816314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922224463325.

The product of its (nonzero) digits is 8294400, while the sum is 57.

The spelling of 105133588816314 in words is "one hundred five trillion, one hundred thirty-three billion, five hundred eighty-eight million, eight hundred sixteen thousand, three hundred fourteen".