105364251521331 has 32 divisors (see below), whose sum is σ = 153446770096128. Its totient is φ = 63778101757440.

The previous prime is 105364251521329. The next prime is 105364251521351. The reversal of 105364251521331 is 133125152463501.

It is not a de Polignac number, because 105364251521331 - 2¹ = 105364251521329 is a prime.

It is a super-2 number, since 2×105364251521331² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105364251521351) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 378546145 + ... + 378824381.

It is an arithmetic number, because the mean of its divisors is an integer number (4795211565504).

Almost surely, 2^{105364251521331} is an apocalyptic number.

105364251521331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105364251521331 is a deficient number, since it is larger than the sum of its proper divisors (48082518574797).

105364251521331 is a wasteful number, since it uses less digits than its factorization.

105364251521331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292411.

The product of its (nonzero) digits is 324000, while the sum is 42.

The spelling of 105364251521331 in words is "one hundred five trillion, three hundred sixty-four billion, two hundred fifty-one million, five hundred twenty-one thousand, three hundred thirty-one".