106258729 has 2 divisors, whose sum is σ = 106258730. Its totient is φ = 106258728.

The previous prime is 106258673. The next prime is 106258739. The reversal of 106258729 is 927852601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78801129 + 27457600 = 8877^2 + 5240^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-106258729 is a prime.

It is a super-2 number, since 2×106258729² = 22581834977390882, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106258691 and 106258700.

It is not a weakly prime, because it can be changed into another prime (106258739) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53129364 + 53129365.

It is an arithmetic number, because the mean of its divisors is an integer number (53129365).

Almost surely, 2^106258729 is an apocalyptic number.

It is an amenable number.

106258729 is a deficient number, since it is larger than the sum of its proper divisors (1).

106258729 is an equidigital number, since it uses as much as digits as its factorization.

106258729 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 106258729 is about 10308.1874740422. The cubic root of 106258729 is about 473.6470887545.

The spelling of 106258729 in words is "one hundred six million, two hundred fifty-eight thousand, seven hundred twenty-nine".