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106949017 = 724746439
BaseRepresentation
bin1100101111111…
…10100110011001
321110020120110201
412113332212121
5204334332032
614340142201
72436023500
oct627764631
9243216421
10106949017
115540841a
122b997961
1319207756
14102bd837
1595c88e7
hex65fe999

106949017 has 12 divisors (see below), whose sum is σ = 127059840. Its totient is φ = 89718216.

The previous prime is 106948987. The next prime is 106949047. The reversal of 106949017 is 710949601.

It is an interprime number because it is at equal distance from previous prime (106948987) and next prime (106949047).

It is not a de Polignac number, because 106949017 - 223 = 98560409 is a prime.

It is a super-2 number, since 2×1069490172 = 22876184474532578, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106949047) 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, 20917 + ... + 25522.

It is an arithmetic number, because the mean of its divisors is an integer number (10588320).

Almost surely, 2106949017 is an apocalyptic number.

It is an amenable number.

106949017 is a deficient number, since it is larger than the sum of its proper divisors (20110823).

106949017 is an equidigital number, since it uses as much as digits as its factorization.

106949017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46500 (or 46493 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 37.

The square root of 106949017 is about 10341.6157828455. The cubic root of 106949017 is about 474.6705260907.

It can be divided in two parts, 1069 and 49017, that added together give a triangular number (50086 = T316).

The spelling of 106949017 in words is "one hundred six million, nine hundred forty-nine thousand, seventeen".

Divisors: 1 7 47 49 329 2303 46439 325073 2182633 2275511 15278431 106949017