106162356321543 has 32 divisors (see below), whose sum is σ = 145795776698880. Its totient is φ = 68690109931520.

The previous prime is 106162356321533. The next prime is 106162356321583. The reversal of 106162356321543 is 345123653261601.

It is a cyclic number.

It is not a de Polignac number, because 106162356321543 - 2¹² = 106162356317447 is a prime.

It is a super-3 number, since 3×106162356321543³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 106162356321492 and 106162356321501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106162356321533) 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, 8031930 + ... + 16638407.

It is an arithmetic number, because the mean of its divisors is an integer number (4556118021840).

Almost surely, 2^{106162356321543} is an apocalyptic number.

106162356321543 is a deficient number, since it is larger than the sum of its proper divisors (39633420377337).

106162356321543 is a wasteful number, since it uses less digits than its factorization.

106162356321543 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24670727.

The product of its (nonzero) digits is 2332800, while the sum is 48.

The spelling of 106162356321543 in words is "one hundred six trillion, one hundred sixty-two billion, three hundred fifty-six million, three hundred twenty-one thousand, five hundred forty-three".