106552827354793 has 2 divisors, whose sum is σ = 106552827354794. Its totient is φ = 106552827354792.

The previous prime is 106552827354769. The next prime is 106552827354811. The reversal of 106552827354793 is 397453728255601.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 106465313149209 + 87514205584 = 10318203^2 + 295828^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-106552827354793 is a prime.

It is a super-2 number, since 2×106552827354793² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106552827354893) 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 as a sum of consecutive naturals, namely, 53276413677396 + 53276413677397.

It is an arithmetic number, because the mean of its divisors is an integer number (53276413677397).

It is a 3-persistent number, because k⋅106552827354793 is pandigital for 1 ≤ k ≤ 3, but not for k = 4.

Almost surely, 2^{106552827354793} is an apocalyptic number.

It is an amenable number.

106552827354793 is a deficient number, since it is larger than the sum of its proper divisors (1).

106552827354793 is an equidigital number, since it uses as much as digits as its factorization.

106552827354793 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 381024000, while the sum is 67.

The spelling of 106552827354793 in words is "one hundred six trillion, five hundred fifty-two billion, eight hundred twenty-seven million, three hundred fifty-four thousand, seven hundred ninety-three".