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106288213 is a prime number
BaseRepresentation
bin1100101010111…
…01010001010101
321102000000000111
412111131101111
5204202210323
614314043021
72430302113
oct625352125
9242000014
10106288213
1154aa69a9
122b719471
1319035a45
141018aab3
1594e7c0d
hex655d455

106288213 has 2 divisors, whose sum is σ = 106288214. Its totient is φ = 106288212.

The previous prime is 106288211. The next prime is 106288229. The reversal of 106288213 is 312882601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84971524 + 21316689 = 9218^2 + 4617^2 .

It is a cyclic number.

It is not a de Polignac number, because 106288213 - 21 = 106288211 is a prime.

It is a super-2 number, since 2×1062882132 = 22594368445466738, which contains 22 as substring.

Together with 106288211, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106288211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53144106 + 53144107.

It is an arithmetic number, because the mean of its divisors is an integer number (53144107).

Almost surely, 2106288213 is an apocalyptic number.

It is an amenable number.

106288213 is a deficient number, since it is larger than the sum of its proper divisors (1).

106288213 is an equidigital number, since it uses as much as digits as its factorization.

106288213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 106288213 is about 10309.6175001791. The cubic root of 106288213 is about 473.6908929027.

The spelling of 106288213 in words is "one hundred six million, two hundred eighty-eight thousand, two hundred thirteen".