106797829 has 2 divisors, whose sum is σ = 106797830. Its totient is φ = 106797828.

The previous prime is 106797811. The next prime is 106797857. The reversal of 106797829 is 928797601.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 86304100 + 20493729 = 9290^2 + 4527^2 .

It is a cyclic number.

It is not a de Polignac number, because 106797829 - 2⁵ = 106797797 is a prime.

It is a super-2 number, since 2×106797829² = 22811552558226482, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106797869) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53398914 + 53398915.

It is an arithmetic number, because the mean of its divisors is an integer number (53398915).

Almost surely, 2^106797829 is an apocalyptic number.

It is an amenable number.

106797829 is a deficient number, since it is larger than the sum of its proper divisors (1).

106797829 is an equidigital number, since it uses as much as digits as its factorization.

106797829 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 381024, while the sum is 49.

The square root of 106797829 is about 10334.3035082196. The cubic root of 106797829 is about 474.4467486542.

The spelling of 106797829 in words is "one hundred six million, seven hundred ninety-seven thousand, eight hundred twenty-nine".