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106791437 is a prime number
BaseRepresentation
bin1100101110110…
…00001000001101
321102221120022102
412113120020031
5204314311222
614332524445
72434466204
oct627301015
9242846272
10106791437
115530aa95
122b920725
1319180acc
141027c23b
159596d92
hex65d820d

106791437 has 2 divisors, whose sum is σ = 106791438. Its totient is φ = 106791436.

The previous prime is 106791431. The next prime is 106791439. The reversal of 106791437 is 734197601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78605956 + 28185481 = 8866^2 + 5309^2 .

It is a cyclic number.

It is not a de Polignac number, because 106791437 - 222 = 102597133 is a prime.

It is a super-2 number, since 2×1067914372 = 22808822033049938, which contains 22 as substring.

Together with 106791439, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 106791437.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106791431) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53395718 + 53395719.

It is an arithmetic number, because the mean of its divisors is an integer number (53395719).

Almost surely, 2106791437 is an apocalyptic number.

It is an amenable number.

106791437 is a deficient number, since it is larger than the sum of its proper divisors (1).

106791437 is an equidigital number, since it uses as much as digits as its factorization.

106791437 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 31752, while the sum is 38.

The square root of 106791437 is about 10333.9942423053. The cubic root of 106791437 is about 474.4372830307.

The spelling of 106791437 in words is "one hundred six million, seven hundred ninety-one thousand, four hundred thirty-seven".