106917985829 has 2 divisors, whose sum is σ = 106917985830. Its totient is φ = 106917985828.

The previous prime is 106917985807. The next prime is 106917985843. The reversal of 106917985829 is 928589719601.

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., 63068788225 + 43849197604 = 251135^2 + 209402^2 .

It is a cyclic number.

It is not a de Polignac number, because 106917985829 - 2¹² = 106917981733 is a prime.

It is a super-3 number, since 3×106917985829³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106917985849) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53458992914 + 53458992915.

It is an arithmetic number, because the mean of its divisors is an integer number (53458992915).

Almost surely, 2^106917985829 is an apocalyptic number.

It is an amenable number.

106917985829 is a deficient number, since it is larger than the sum of its proper divisors (1).

106917985829 is an equidigital number, since it uses as much as digits as its factorization.

106917985829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19595520, while the sum is 65.

The spelling of 106917985829 in words is "one hundred six billion, nine hundred seventeen million, nine hundred eighty-five thousand, eight hundred twenty-nine".