105692259191414 has 64 divisors (see below), whose sum is σ = 203173699286016. Its totient is φ = 40169963142144.

The previous prime is 105692259191413. The next prime is 105692259191471. The reversal of 105692259191414 is 414191952296501.

It is a super-2 number, since 2×105692259191414² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105692259191413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143723159 + ... + 144456674.

It is an arithmetic number, because the mean of its divisors is an integer number (3174589051344).

Almost surely, 2^{105692259191414} is an apocalyptic number.

105692259191414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

105692259191414 is a deficient number, since it is larger than the sum of its proper divisors (97481440094602).

105692259191414 is a wasteful number, since it uses less digits than its factorization.

105692259191414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288179949.

The product of its (nonzero) digits is 6998400, while the sum is 59.

The spelling of 105692259191414 in words is "one hundred five trillion, six hundred ninety-two billion, two hundred fifty-nine million, one hundred ninety-one thousand, four hundred fourteen".