106891601 has 2 divisors, whose sum is σ = 106891602. Its totient is φ = 106891600.

The previous prime is 106891591. The next prime is 106891621. The reversal of 106891601 is 106198601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105042001 + 1849600 = 10249^2 + 1360^2 .

It is an emirp because it is prime and its reverse (106198601) is a distict prime. It is also a bemirp because it and its reverse can be mirrored producing other two distinct primes, 109168901 and 109861901.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-106891601 is a prime.

It is a super-2 number, since 2×106891601² = 22851628728686402, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is equal to p_6134972 and since 106891601 and 6134972 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (106891621) 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, 53445800 + 53445801.

It is an arithmetic number, because the mean of its divisors is an integer number (53445801).

Almost surely, 2^106891601 is an apocalyptic number.

It is an amenable number.

106891601 is a deficient number, since it is larger than the sum of its proper divisors (1).

106891601 is an equidigital number, since it uses as much as digits as its factorization.

106891601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 32.

The square root of 106891601 is about 10338.8394416395. The cubic root of 106891601 is about 474.5855679732.

The spelling of 106891601 in words is "one hundred six million, eight hundred ninety-one thousand, six hundred one".