105986501 has 2 divisors, whose sum is σ = 105986502. Its totient is φ = 105986500.

The previous prime is 105986431. The next prime is 105986513. The reversal of 105986501 is 105689501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86397025 + 19589476 = 9295^2 + 4426^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105986501 is a prime.

It is a super-2 number, since 2×105986501² = 22466276788446002, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105986521) 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, 52993250 + 52993251.

It is an arithmetic number, because the mean of its divisors is an integer number (52993251).

Almost surely, 2^105986501 is an apocalyptic number.

It is an amenable number.

105986501 is a deficient number, since it is larger than the sum of its proper divisors (1).

105986501 is an equidigital number, since it uses as much as digits as its factorization.

105986501 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10800, while the sum is 35.

The square root of 105986501 is about 10294.9745507213. The cubic root of 105986501 is about 473.2422584256.

The spelling of 105986501 in words is "one hundred five million, nine hundred eighty-six thousand, five hundred one".