Search a number
-
+
106516347 = 372724601
BaseRepresentation
bin1100101100101…
…00111101111011
321102102120221220
412112110331323
5204232010342
614323003123
72432242200
oct626247573
9242376856
10106516347
1155142343
122b8094a3
13190b5832
1410209ca7
1595405ec
hex6594f7b

106516347 has 12 divisors (see below), whose sum is σ = 165209256. Its totient is φ = 60866400.

The previous prime is 106516343. The next prime is 106516349. The reversal of 106516347 is 743615601.

It is not a de Polignac number, because 106516347 - 22 = 106516343 is a prime.

It is a super-2 number, since 2×1065163472 = 22691464356448818, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106516343) 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, 362154 + ... + 362447.

It is an arithmetic number, because the mean of its divisors is an integer number (13767438).

Almost surely, 2106516347 is an apocalyptic number.

106516347 is a deficient number, since it is larger than the sum of its proper divisors (58692909).

106516347 is an equidigital number, since it uses as much as digits as its factorization.

106516347 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724618 (or 724611 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 106516347 is about 10320.6757046232. The cubic root of 106516347 is about 474.0295562762.

The spelling of 106516347 in words is "one hundred six million, five hundred sixteen thousand, three hundred forty-seven".

Divisors: 1 3 7 21 49 147 724601 2173803 5072207 15216621 35505449 106516347