105164029 has 2 divisors, whose sum is σ = 105164030. Its totient is φ = 105164028.

The previous prime is 105164011. The next prime is 105164039. The reversal of 105164029 is 920461501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 79388100 + 25775929 = 8910^2 + 5077^2 .

It is a cyclic number.

It is not a de Polignac number, because 105164029 - 2¹⁷ = 105032957 is a prime.

It is a super-2 number, since 2×105164029² = 22118945991025682, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105163988 and 105164006.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105164039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52582014 + 52582015.

It is an arithmetic number, because the mean of its divisors is an integer number (52582015).

Almost surely, 2^105164029 is an apocalyptic number.

It is an amenable number.

105164029 is a deficient number, since it is larger than the sum of its proper divisors (1).

105164029 is an equidigital number, since it uses as much as digits as its factorization.

105164029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 105164029 is about 10254.9514382078. The cubic root of 105164029 is about 472.0149332750.

The spelling of 105164029 in words is "one hundred five million, one hundred sixty-four thousand, twenty-nine".