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106747607 = 1710162171
BaseRepresentation
bin1100101110011…
…01011011010111
321102212100012002
412113031123113
5204311410412
614331545515
72434224341
oct627153327
9242770162
10106747607
115529006a
122b8bb29b
1319166b85
141026a291
159588dc2
hex65cd6d7

106747607 has 8 divisors (see below), whose sum is σ = 114147792. Its totient is φ = 99472000.

The previous prime is 106747561. The next prime is 106747609. The reversal of 106747607 is 706747601.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106747607 - 28 = 106747351 is a prime.

It is a super-2 number, since 2×1067476072 = 22790103200452898, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106747609) 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 7 ways as a sum of consecutive naturals, for example, 29369 + ... + 32802.

It is an arithmetic number, because the mean of its divisors is an integer number (14268474).

Almost surely, 2106747607 is an apocalyptic number.

106747607 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

106747607 is a deficient number, since it is larger than the sum of its proper divisors (7400185).

106747607 is a wasteful number, since it uses less digits than its factorization.

106747607 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62289.

The product of its (nonzero) digits is 49392, while the sum is 38.

The square root of 106747607 is about 10331.8733538502. The cubic root of 106747607 is about 474.3723669905.

It can be divided in two parts, 10674 and 7607, that added together give a palindrome (18281).

The spelling of 106747607 in words is "one hundred six million, seven hundred forty-seven thousand, six hundred seven".

Divisors: 1 17 101 1717 62171 1056907 6279271 106747607