106552827354193 has 32 divisors (see below), whose sum is σ = 118219185745920. Its totient is φ = 95222631504000.

The previous prime is 106552827354167. The next prime is 106552827354227. The reversal of 106552827354193 is 391453728255601.

It is not a de Polignac number, because 106552827354193 - 2¹³ = 106552827346001 is a prime.

It is a super-2 number, since 2×106552827354193² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106552827354793) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 692143653 + ... + 692297581.

It is an arithmetic number, because the mean of its divisors is an integer number (3694349554560).

It is a 1-persistent number, because it is pandigital, but 2⋅106552827354193 = 213105654708386 is not.

Almost surely, 2^{106552827354193} is an apocalyptic number.

It is an amenable number.

106552827354193 is a deficient number, since it is larger than the sum of its proper divisors (11666358391727).

106552827354193 is a wasteful number, since it uses less digits than its factorization.

106552827354193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155949.

The product of its (nonzero) digits is 54432000, while the sum is 61.

The spelling of 106552827354193 in words is "one hundred six trillion, five hundred fifty-two billion, eight hundred twenty-seven million, three hundred fifty-four thousand, one hundred ninety-three".