105312029 has 2 divisors, whose sum is σ = 105312030. Its totient is φ = 105312028.

The previous prime is 105312019. The next prime is 105312043. The reversal of 105312029 is 920213501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95844100 + 9467929 = 9790^2 + 3077^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105312029 is a prime.

It is a super-2 number, since 2×105312029² = 22181246904193682, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105311995 and 105312013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105312019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52656014 + 52656015.

It is an arithmetic number, because the mean of its divisors is an integer number (52656015).

Almost surely, 2^105312029 is an apocalyptic number.

It is an amenable number.

105312029 is a deficient number, since it is larger than the sum of its proper divisors (1).

105312029 is an equidigital number, since it uses as much as digits as its factorization.

105312029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 105312029 is about 10262.1649275384. The cubic root of 105312029 is about 472.2362556711.

The spelling of 105312029 in words is "one hundred five million, three hundred twelve thousand, twenty-nine".