Search a number
-
+
106807437 = 3311359621
BaseRepresentation
bin1100101110111…
…00000010001101
321102222101021000
412113130002031
5204320314222
614333130513
72434563642
oct627340215
9242871230
10106807437
1155321010
122b929a39
1319188189
1410283dc9
15959b9ac
hex65dc08d

106807437 has 16 divisors (see below), whose sum is σ = 172618560. Its totient is φ = 64731600.

The previous prime is 106807429. The next prime is 106807439. The reversal of 106807437 is 734708601.

It is not a de Polignac number, because 106807437 - 23 = 106807429 is a prime.

It is a super-2 number, since 2×1068074372 = 22815657197017938, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106807439) 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 in 15 ways as a sum of consecutive naturals, for example, 179514 + ... + 180107.

It is an arithmetic number, because the mean of its divisors is an integer number (10788660).

Almost surely, 2106807437 is an apocalyptic number.

It is an amenable number.

106807437 is a deficient number, since it is larger than the sum of its proper divisors (65811123).

106807437 is a wasteful number, since it uses less digits than its factorization.

106807437 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359641 (or 359635 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 106807437 is about 10334.7683573460. The cubic root of 106807437 is about 474.4609759960.

The spelling of 106807437 in words is "one hundred six million, eight hundred seven thousand, four hundred thirty-seven".

Divisors: 1 3 9 11 27 33 99 297 359621 1078863 3236589 3955831 9709767 11867493 35602479 106807437