105182801 has 2 divisors, whose sum is σ = 105182802. Its totient is φ = 105182800.

The previous prime is 105182771. The next prime is 105182821. The reversal of 105182801 is 108281501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103225600 + 1957201 = 10160^2 + 1399^2 .

It is a cyclic number.

It is not a de Polignac number, because 105182801 - 2¹⁴ = 105166417 is a prime.

It is a super-2 number, since 2×105182801² = 22126843252411202, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105182821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52591400 + 52591401.

It is an arithmetic number, because the mean of its divisors is an integer number (52591401).

Almost surely, 2^105182801 is an apocalyptic number.

It is an amenable number.

105182801 is a deficient number, since it is larger than the sum of its proper divisors (1).

105182801 is an equidigital number, since it uses as much as digits as its factorization.

105182801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 640, while the sum is 26.

The square root of 105182801 is about 10255.8666625498. The cubic root of 105182801 is about 472.0430168230.

The spelling of 105182801 in words is "one hundred five million, one hundred eighty-two thousand, eight hundred one".