105262501 has 2 divisors, whose sum is σ = 105262502. Its totient is φ = 105262500.

The previous prime is 105262477. The next prime is 105262511.

105262501 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97416900 + 7845601 = 9870^2 + 2801^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 105262501 - 2¹³ = 105254309 is a prime.

It is a super-2 number, since 2×105262501² = 22160388233550002, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105262511) 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, 52631250 + 52631251.

It is an arithmetic number, because the mean of its divisors is an integer number (52631251).

Almost surely, 2^105262501 is an apocalyptic number.

It is an amenable number.

105262501 is a deficient number, since it is larger than the sum of its proper divisors (1).

105262501 is an equidigital number, since it uses as much as digits as its factorization.

105262501 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 105262501 is about 10259.7515077121. The cubic root of 105262501 is about 472.1622135285.

The spelling of 105262501 in words is "one hundred five million, two hundred sixty-two thousand, five hundred one".