106885388654381 has 2 divisors, whose sum is σ = 106885388654382. Its totient is φ = 106885388654380.

The previous prime is 106885388654347. The next prime is 106885388654393. The reversal of 106885388654381 is 183456883588601.

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., 62330551300900 + 44554837353481 = 7894970^2 + 6674941^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-106885388654381 is a prime.

It is a super-3 number, since 3×106885388654381³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 106885388654299 and 106885388654308.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106885388654321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53442694327190 + 53442694327191.

It is an arithmetic number, because the mean of its divisors is an integer number (53442694327191).

Almost surely, 2^{106885388654381} is an apocalyptic number.

It is an amenable number.

106885388654381 is a deficient number, since it is larger than the sum of its proper divisors (1).

106885388654381 is an equidigital number, since it uses as much as digits as its factorization.

106885388654381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1061683200, while the sum is 74.

The spelling of 106885388654381 in words is "one hundred six trillion, eight hundred eighty-five billion, three hundred eighty-eight million, six hundred fifty-four thousand, three hundred eighty-one".