Search a number
-
+
106785441 = 3273761751
BaseRepresentation
bin1100101110101…
…10101010100001
321102221021002100
412113112222201
5204314113231
614332441013
72434442550
oct627265241
9242837070
10106785441
1155306534
122b919169
131917b169
1410279d97
1595951e6
hex65d6aa1

106785441 has 48 divisors (see below), whose sum is σ = 184258048. Its totient is φ = 58320000.

The previous prime is 106785397. The next prime is 106785451. The reversal of 106785441 is 144587601.

It is a happy number.

106785441 is a `hidden beast` number, since 106 + 7 + 8 + 544 + 1 = 666.

It is not a de Polignac number, because 106785441 - 210 = 106784417 is a prime.

It is a super-2 number, since 2×1067854412 = 22806260819128962, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 106785396 and 106785405.

It is not an unprimeable number, because it can be changed into a prime (106785451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141816 + ... + 142566.

Almost surely, 2106785441 is an apocalyptic number.

It is an amenable number.

106785441 is a deficient number, since it is larger than the sum of its proper divisors (77472607).

106785441 is a wasteful number, since it uses less digits than its factorization.

106785441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 106785441 is about 10333.7041277559. The cubic root of 106785441 is about 474.4284034823.

The spelling of 106785441 in words is "one hundred six million, seven hundred eighty-five thousand, four hundred forty-one".

Divisors: 1 3 7 9 21 37 61 63 111 183 259 333 427 549 751 777 1281 2253 2257 2331 3843 5257 6759 6771 15771 15799 20313 27787 45811 47313 47397 83361 137433 142191 194509 250083 320677 412299 583527 962031 1695007 1750581 2886093 5085021 11865049 15255063 35595147 106785441