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106305627 = 3191865011
BaseRepresentation
bin1100101011000…
…01100001011011
321102000212220110
412111201201123
5204203240002
614314255403
72430403641
oct625414133
9242025813
10106305627
1155008a9a
122b727563
131904094c
1410193191
1594ece6c
hex656185b

106305627 has 8 divisors (see below), whose sum is σ = 149200960. Its totient is φ = 67140360.

The previous prime is 106305623. The next prime is 106305643. The reversal of 106305627 is 726503601.

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

It is not a de Polignac number, because 106305627 - 22 = 106305623 is a prime.

It is a super-2 number, since 2×1063056272 = 22601772663726258, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106305594 and 106305603.

It is not an unprimeable number, because it can be changed into a prime (106305623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 932449 + ... + 932562.

It is an arithmetic number, because the mean of its divisors is an integer number (18650120).

Almost surely, 2106305627 is an apocalyptic number.

106305627 is a deficient number, since it is larger than the sum of its proper divisors (42895333).

106305627 is a wasteful number, since it uses less digits than its factorization.

106305627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1865033.

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 106305627 is about 10310.4620168060. The cubic root of 106305627 is about 473.7167609412.

The spelling of 106305627 in words is "one hundred six million, three hundred five thousand, six hundred twenty-seven".

Divisors: 1 3 19 57 1865011 5595033 35435209 106305627