106162744654845 has 32 divisors (see below), whose sum is σ = 192294782784000. Its totient is φ = 55551826130112.

The previous prime is 106162744654787. The next prime is 106162744654861. The reversal of 106162744654845 is 548456447261601.

106162744654845 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 6 + 2 + 7 + 4 + 46 + 548 + 45 = 666.

It is not a de Polignac number, because 106162744654845 - 2⁶ = 106162744654781 is a prime.

It is a super-2 number, since 2×106162744654845² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7418773045 + ... + 7418787354.

It is an arithmetic number, because the mean of its divisors is an integer number (6009211962000).

Almost surely, 2^{106162744654845} is an apocalyptic number.

106162744654845 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106162744654845 is a deficient number, since it is larger than the sum of its proper divisors (86132038129155).

106162744654845 is a wasteful number, since it uses less digits than its factorization.

106162744654845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14837560466 (or 14837560460 counting only the distinct ones).

The product of its (nonzero) digits is 154828800, while the sum is 63.

The spelling of 106162744654845 in words is "one hundred six trillion, one hundred sixty-two billion, seven hundred forty-four million, six hundred fifty-four thousand, eight hundred forty-five".