106324161345 has 24 divisors (see below), whose sum is σ = 188581151616. Its totient is φ = 55387469088.

The previous prime is 106324161323. The next prime is 106324161407. The reversal of 106324161345 is 543161423601.

106324161345 is a `hidden beast` number, since 1 + 0 + 6 + 32 + 4 + 1 + 613 + 4 + 5 = 666.

It is not a de Polignac number, because 106324161345 - 2⁵ = 106324161313 is a prime.

It is a super-2 number, since 2×106324161345² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 27472009 + ... + 27475878.

It is an arithmetic number, because the mean of its divisors is an integer number (7857547984).

Almost surely, 2^106324161345 is an apocalyptic number.

106324161345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106324161345 is a deficient number, since it is larger than the sum of its proper divisors (82256990271).

106324161345 is a wasteful number, since it uses less digits than its factorization.

106324161345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54947941 (or 54947938 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 106324161345 its reverse (543161423601), we get a palindrome (649485584946).

The spelling of 106324161345 in words is "one hundred six billion, three hundred twenty-four million, one hundred sixty-one thousand, three hundred forty-five".