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106627217 = 67223753
BaseRepresentation
bin1100101101100…
…00000010010001
321102122020001012
412112300002101
5204244032332
614325220305
72433213344
oct626600221
9242566035
10106627217
1155208674
122b861695
1319124138
141023845b
1595633b2
hex65b0091

106627217 has 6 divisors (see below), whose sum is σ = 108246978. Its totient is φ = 105031344.

The previous prime is 106627211. The next prime is 106627223. The reversal of 106627217 is 712726601.

It is an interprime number because it is at equal distance from previous prime (106627211) and next prime (106627223).

It can be written as a sum of positive squares in only one way, i.e., 98327056 + 8300161 = 9916^2 + 2881^2 .

It is not a de Polignac number, because 106627217 - 216 = 106561681 is a prime.

It is a super-2 number, since 2×1066272172 = 22738726810330178, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106627211) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7388 + ... + 16365.

It is an arithmetic number, because the mean of its divisors is an integer number (18041163).

Almost surely, 2106627217 is an apocalyptic number.

It is an amenable number.

106627217 is a deficient number, since it is larger than the sum of its proper divisors (1619761).

106627217 is an frugal number, since it uses more digits than its factorization.

106627217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23887 (or 23820 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 32.

The square root of 106627217 is about 10326.0455644937. The cubic root of 106627217 is about 474.1939674498.

The spelling of 106627217 in words is "one hundred six million, six hundred twenty-seven thousand, two hundred seventeen".

Divisors: 1 67 4489 23753 1591451 106627217