105272501 has 2 divisors, whose sum is σ = 105272502. Its totient is φ = 105272500.

The previous prime is 105272491. The next prime is 105272509.

It is a happy number.

105272501 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., 91202500 + 14070001 = 9550^2 + 3751^2 .

It is a palprime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105272501 is a prime.

It is a super-2 number, since 2×105272501² = 22164598933590002, which contains 22 as substring.

It is a Chen prime.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105272509) 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, 52636250 + 52636251.

It is an arithmetic number, because the mean of its divisors is an integer number (52636251).

Almost surely, 2^105272501 is an apocalyptic number.

It is an amenable number.

105272501 is a deficient number, since it is larger than the sum of its proper divisors (1).

105272501 is an equidigital number, since it uses as much as digits as its factorization.

105272501 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 700, while the sum is 23.

The square root of 105272501 is about 10260.2388373761. The cubic root of 105272501 is about 472.1771649518.

The spelling of 105272501 in words is "one hundred five million, two hundred seventy-two thousand, five hundred one".