105342546105 has 48 divisors (see below), whose sum is σ = 183655240704. Its totient is φ = 55856424960.

The previous prime is 105342546091. The next prime is 105342546131. The reversal of 105342546105 is 501645243501.

105342546105 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 4 + 2 + 546 + 105 = 666.

It is not a de Polignac number, because 105342546105 - 2¹⁸ = 105342283961 is a prime.

It is a super-2 number, since 2×105342546105² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105342546105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26960562 + ... + 26964468.

It is an arithmetic number, because the mean of its divisors is an integer number (3826150848).

Almost surely, 2^105342546105 is an apocalyptic number.

105342546105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105342546105 is a deficient number, since it is larger than the sum of its proper divisors (78312694599).

105342546105 is a wasteful number, since it uses less digits than its factorization.

105342546105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7246 (or 7243 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 105342546105 its reverse (501645243501), we get a palindrome (606987789606).

The spelling of 105342546105 in words is "one hundred five billion, three hundred forty-two million, five hundred forty-six thousand, one hundred five".