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106588381 is a prime number
BaseRepresentation
bin1100101101001…
…10100011011101
321102120020202211
412112212203131
5204241312011
614324320421
72432662204
oct626464335
9242506684
10106588381
1155191479
122b843111
131910c563
141022823b
159556b21
hex65a68dd

106588381 has 2 divisors, whose sum is σ = 106588382. Its totient is φ = 106588380.

The previous prime is 106588373. The next prime is 106588393. The reversal of 106588381 is 183885601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 103836100 + 2752281 = 10190^2 + 1659^2 .

It is an emirp because it is prime and its reverse (183885601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106588381 - 23 = 106588373 is a prime.

It is a super-2 number, since 2×1065883812 = 22722165928402322, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106588481) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53294190 + 53294191.

It is an arithmetic number, because the mean of its divisors is an integer number (53294191).

Almost surely, 2106588381 is an apocalyptic number.

It is an amenable number.

106588381 is a deficient number, since it is larger than the sum of its proper divisors (1).

106588381 is an equidigital number, since it uses as much as digits as its factorization.

106588381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46080, while the sum is 40.

The square root of 106588381 is about 10324.1649056958. The cubic root of 106588381 is about 474.1363898016.

The spelling of 106588381 in words is "one hundred six million, five hundred eighty-eight thousand, three hundred eighty-one".