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106449941 = 1361241557
BaseRepresentation
bin1100101100001…
…00110000010101
321102022012212102
412112010300111
5204222344231
614321331445
72431544453
oct626046025
9242265772
10106449941
11550a7464
122b796b85
1319091540
14101cd9d3
15952aacb
hex6584c15

106449941 has 16 divisors (see below), whose sum is σ = 117211248. Its totient is φ = 96076800.

The previous prime is 106449929. The next prime is 106449943. The reversal of 106449941 is 149944601.

It can be written as a sum of positive squares in 8 ways, for example, as 34692100 + 71757841 = 5890^2 + 8471^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106449941 is a prime.

It is a super-2 number, since 2×1064499412 = 22663179877806962, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106449895 and 106449904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106449943) 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 15 ways as a sum of consecutive naturals, for example, 190835 + ... + 191391.

It is an arithmetic number, because the mean of its divisors is an integer number (7325703).

Almost surely, 2106449941 is an apocalyptic number.

It is an amenable number.

106449941 is a deficient number, since it is larger than the sum of its proper divisors (10761307).

106449941 is a wasteful number, since it uses less digits than its factorization.

106449941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872.

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 106449941 is about 10317.4580687299. The cubic root of 106449941 is about 473.9310269536.

The spelling of 106449941 in words is "one hundred six million, four hundred forty-nine thousand, nine hundred forty-one".

Divisors: 1 13 61 241 557 793 3133 7241 14701 33977 134237 191113 441701 1745081 8188457 106449941