106641369 has 12 divisors (see below), whose sum is σ = 157795092. Its totient is φ = 69360000.

The previous prime is 106641343. The next prime is 106641373. The reversal of 106641369 is 963146601.

106641369 is a `hidden beast` number, since 1 + 0 + 6 + 641 + 3 + 6 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 25857225 + 80784144 = 5085^2 + 8988^2 .

It is not a de Polignac number, because 106641369 - 2¹² = 106637273 is a prime.

It is a super-2 number, since 2×106641369² = 22744763164388322, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106641329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 144132 + ... + 144869.

It is an arithmetic number, because the mean of its divisors is an integer number (13149591).

Almost surely, 2^106641369 is an apocalyptic number.

It is an amenable number.

106641369 is a deficient number, since it is larger than the sum of its proper divisors (51153723).

106641369 is a wasteful number, since it uses less digits than its factorization.

106641369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289048 (or 289045 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 106641369 is about 10326.7307992414. The cubic root of 106641369 is about 474.2149455088.

It can be divided in two parts, 106641 and 369, that multiplied together give a square (39350529 = 6273²).

The spelling of 106641369 in words is "one hundred six million, six hundred forty-one thousand, three hundred sixty-nine".