106173641 has 18 divisors (see below), whose sum is σ = 126692190. Its totient is φ = 88717440.

The previous prime is 106173631. The next prime is 106173643. The reversal of 106173641 is 146371601.

It can be written as a sum of positive squares in 3 ways, for example, as 1225 + 106172416 = 35^2 + 10304^2 .

It is not a de Polignac number, because 106173641 - 2¹⁰ = 106172617 is a prime.

It is a super-2 number, since 2×106173641² = 22545684086393762, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106173643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 81725 + ... + 83013.

It is an arithmetic number, because the mean of its divisors is an integer number (7038455).

Almost surely, 2^106173641 is an apocalyptic number.

It is an amenable number.

106173641 is a deficient number, since it is larger than the sum of its proper divisors (20518549).

106173641 is an equidigital number, since it uses as much as digits as its factorization.

106173641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1385 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 106173641 is about 10304.0594427633. The cubic root of 106173641 is about 473.5206287262.

The spelling of 106173641 in words is "one hundred six million, one hundred seventy-three thousand, six hundred forty-one".