115106029 has 2 divisors, whose sum is σ = 115106030. Its totient is φ = 115106028.

The previous prime is 115106027. The next prime is 115106051. The reversal of 115106029 is 920601511.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95062500 + 20043529 = 9750^2 + 4477^2 .

It is an emirp because it is prime and its reverse (920601511) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 115106029 - 2¹ = 115106027 is a prime.

It is a super-3 number, since 3×115106029³ (a number of 25 digits) contains 333 as substring.

Together with 115106027, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 115105994 and 115106012.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (115106021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57553014 + 57553015.

It is an arithmetic number, because the mean of its divisors is an integer number (57553015).

Almost surely, 2^115106029 is an apocalyptic number.

It is an amenable number.

115106029 is a deficient number, since it is larger than the sum of its proper divisors (1).

115106029 is an equidigital number, since it uses as much as digits as its factorization.

115106029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 540, while the sum is 25.

The square root of 115106029 is about 10728.7477834088. The cubic root of 115106029 is about 486.4438202749.

The spelling of 115106029 in words is "one hundred fifteen million, one hundred six thousand, twenty-nine".