105032801 has 2 divisors, whose sum is σ = 105032802. Its totient is φ = 105032800.

The previous prime is 105032773. The next prime is 105032821. The reversal of 105032801 is 108230501.

It is an a-pointer prime, because the next prime (105032821) can be obtained adding 105032801 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90706576 + 14326225 = 9524^2 + 3785^2 .

It is a cyclic number.

It is not a de Polignac number, because 105032801 - 2⁶ = 105032737 is a prime.

It is a super-2 number, since 2×105032801² = 22063778571811202, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105032821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52516400 + 52516401.

It is an arithmetic number, because the mean of its divisors is an integer number (52516401).

Almost surely, 2^105032801 is an apocalyptic number.

It is an amenable number.

105032801 is a deficient number, since it is larger than the sum of its proper divisors (1).

105032801 is an equidigital number, since it uses as much as digits as its factorization.

105032801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 105032801 is about 10248.5511658966. The cubic root of 105032801 is about 471.8185183394.

The spelling of 105032801 in words is "one hundred five million, thirty-two thousand, eight hundred one".