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106430517 = 341313957
BaseRepresentation
bin1100101100000…
…00000000110101
321102021020020000
412112000000311
5204221234032
614321101513
72431434024
oct626000065
9242236200
10106430517
1155093906
122b787899
131908574b
14101c68bb
159524e7c
hex6580035

106430517 has 10 divisors (see below), whose sum is σ = 158988918. Its totient is φ = 70953624.

The previous prime is 106430503. The next prime is 106430521. The reversal of 106430517 is 715034601.

106430517 is a `hidden beast` number, since 1 + 0 + 643 + 0 + 5 + 17 = 666.

It can be written as a sum of positive squares in only one way, i.e., 60746436 + 45684081 = 7794^2 + 6759^2 .

It is not a de Polignac number, because 106430517 - 218 = 106168373 is a prime.

It is a super-2 number, since 2×1064305172 = 22654909897774578, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106430567) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 656898 + ... + 657059.

Almost surely, 2106430517 is an apocalyptic number.

It is an amenable number.

106430517 is a deficient number, since it is larger than the sum of its proper divisors (52558401).

106430517 is an equidigital number, since it uses as much as digits as its factorization.

106430517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313969 (or 1313960 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 106430517 is about 10316.5167086570. The cubic root of 106430517 is about 473.9021990176.

The spelling of 106430517 in words is "one hundred six million, four hundred thirty thousand, five hundred seventeen".

Divisors: 1 3 9 27 81 1313957 3941871 11825613 35476839 106430517