105493429 has 2 divisors, whose sum is σ = 105493430. Its totient is φ = 105493428.

The previous prime is 105493363. The next prime is 105493447. The reversal of 105493429 is 924394501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63632529 + 41860900 = 7977^2 + 6470^2 .

It is a cyclic number.

It is not a de Polignac number, because 105493429 - 2¹¹ = 105491381 is a prime.

It is a super-2 number, since 2×105493429² = 22257727124356082, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105493499) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52746714 + 52746715.

It is an arithmetic number, because the mean of its divisors is an integer number (52746715).

Almost surely, 2^105493429 is an apocalyptic number.

It is an amenable number.

105493429 is a deficient number, since it is larger than the sum of its proper divisors (1).

105493429 is an equidigital number, since it uses as much as digits as its factorization.

105493429 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 105493429 is about 10270.9994158310. Note that the first 3 decimals coincide. The cubic root of 105493429 is about 472.5072425007.

The spelling of 105493429 in words is "one hundred five million, four hundred ninety-three thousand, four hundred twenty-nine".