105464129 has 2 divisors, whose sum is σ = 105464130. Its totient is φ = 105464128.

The previous prime is 105464119. The next prime is 105464153. The reversal of 105464129 is 921464501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 77880625 + 27583504 = 8825^2 + 5252^2 .

It is a cyclic number.

It is not a de Polignac number, because 105464129 - 2⁴ = 105464113 is a prime.

It is a super-2 number, since 2×105464129² = 22245365011457282, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105464095 and 105464104.

It is not a weakly prime, because it can be changed into another prime (105464119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52732064 + 52732065.

It is an arithmetic number, because the mean of its divisors is an integer number (52732065).

Almost surely, 2^105464129 is an apocalyptic number.

It is an amenable number.

105464129 is a deficient number, since it is larger than the sum of its proper divisors (1).

105464129 is an equidigital number, since it uses as much as digits as its factorization.

105464129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 105464129 is about 10269.5729706741. The cubic root of 105464129 is about 472.4634933489.

The spelling of 105464129 in words is "one hundred five million, four hundred sixty-four thousand, one hundred twenty-nine".