105291863459314 has 48 divisors (see below), whose sum is σ = 189969942007296. Its totient is φ = 43595794166400.

The previous prime is 105291863459309. The next prime is 105291863459347. The reversal of 105291863459314 is 413954368192501.

It is a super-2 number, since 2×105291863459314² (a number of 29 digits) contains 22 as substring.

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, 27421302 + ... + 31024369.

It is an arithmetic number, because the mean of its divisors is an integer number (3957707125152).

Almost surely, 2^{105291863459314} is an apocalyptic number.

105291863459314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

105291863459314 is a deficient number, since it is larger than the sum of its proper divisors (84678078547982).

105291863459314 is a wasteful number, since it uses less digits than its factorization.

105291863459314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58446311 (or 58446304 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 61.

The spelling of 105291863459314 in words is "one hundred five trillion, two hundred ninety-one billion, eight hundred sixty-three million, four hundred fifty-nine thousand, three hundred fourteen".