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106132417 is a prime number
BaseRepresentation
bin1100101001101…
…11001111000001
321101201002022021
412110313033001
5204132214132
614310441441
72426052646
oct624671701
9241632267
10106132417
11549aa946
122b663281
1318cacb61
1410149dcd
1594b6997
hex65373c1

106132417 has 2 divisors, whose sum is σ = 106132418. Its totient is φ = 106132416.

The previous prime is 106132387. The next prime is 106132463. The reversal of 106132417 is 714231601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98426241 + 7706176 = 9921^2 + 2776^2 .

It is a cyclic number.

It is not a de Polignac number, because 106132417 - 211 = 106130369 is a prime.

It is a super-2 number, since 2×1061324172 = 22528179876523778, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106132391 and 106132400.

It is not a weakly prime, because it can be changed into another prime (106132217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53066208 + 53066209.

It is an arithmetic number, because the mean of its divisors is an integer number (53066209).

Almost surely, 2106132417 is an apocalyptic number.

It is an amenable number.

106132417 is a deficient number, since it is larger than the sum of its proper divisors (1).

106132417 is an equidigital number, since it uses as much as digits as its factorization.

106132417 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 106132417 is about 10302.0588718955. The cubic root of 106132417 is about 473.4593362336.

The spelling of 106132417 in words is "one hundred six million, one hundred thirty-two thousand, four hundred seventeen".