105575501 has 2 divisors, whose sum is σ = 105575502. Its totient is φ = 105575500.

The previous prime is 105575471. The next prime is 105575531.

105575501 is nontrivially palindromic in base 10.

It is a balanced prime because it is at equal distance from previous prime (105575471) and next prime (105575531).

It can be written as a sum of positive squares in only one way, i.e., 65189476 + 40386025 = 8074^2 + 6355^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 105575501 - 2¹⁰ = 105574477 is a prime.

It is a super-2 number, since 2×105575501² = 22292372822802002, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105575531) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52787750 + 52787751.

It is an arithmetic number, because the mean of its divisors is an integer number (52787751).

Almost surely, 2^105575501 is an apocalyptic number.

It is an amenable number.

105575501 is a deficient number, since it is larger than the sum of its proper divisors (1).

105575501 is an equidigital number, since it uses as much as digits as its factorization.

105575501 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4375, while the sum is 29.

The square root of 105575501 is about 10274.9939659350. The cubic root of 105575501 is about 472.6297447978.

The spelling of 105575501 in words is "one hundred five million, five hundred seventy-five thousand, five hundred one".