106100505550593 has 12 divisors (see below), whose sum is σ = 153852613758948. Its totient is φ = 70458442076160.

The previous prime is 106100505550553. The next prime is 106100505550631. The reversal of 106100505550593 is 395055505001601.

106100505550593 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 0 + 0 + 5 + 0 + 5 + 5 + 50 + 593 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 83172430091664 + 22928075458929 = 9119892^2 + 4788327^2 .

It is not a de Polignac number, because 106100505550593 - 2⁸ = 106100505550337 is a prime.

It is a super-2 number, since 2×106100505550593² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106100505550513) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22935688468 + ... + 22935693093.

It is an arithmetic number, because the mean of its divisors is an integer number (12821051146579).

Almost surely, 2^{106100505550593} is an apocalyptic number.

It is an amenable number.

106100505550593 is a deficient number, since it is larger than the sum of its proper divisors (47752108208355).

106100505550593 is a wasteful number, since it uses less digits than its factorization.

106100505550593 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45871381824 (or 45871381821 counting only the distinct ones).

The product of its (nonzero) digits is 506250, while the sum is 45.

The spelling of 106100505550593 in words is "one hundred six trillion, one hundred billion, five hundred five million, five hundred fifty thousand, five hundred ninety-three".