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106106381 is a prime number
BaseRepresentation
bin1100101001100…
…00111000001101
321101122202120222
412110300320031
5204130401011
614310121125
72425614023
oct624607015
9241582528
10106106381
1154992327
122b6501a5
1318ca1054
1410140713
1594adddb
hex6530e0d

106106381 has 2 divisors, whose sum is σ = 106106382. Its totient is φ = 106106380.

The previous prime is 106106347. The next prime is 106106387. The reversal of 106106381 is 183601601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71402500 + 34703881 = 8450^2 + 5891^2 .

It is an emirp because it is prime and its reverse (183601601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106106381 - 210 = 106105357 is a prime.

It is a super-2 number, since 2×1061063812 = 22517128177834322, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106106381.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106106387) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53053190 + 53053191.

It is an arithmetic number, because the mean of its divisors is an integer number (53053191).

Almost surely, 2106106381 is an apocalyptic number.

It is an amenable number.

106106381 is a deficient number, since it is larger than the sum of its proper divisors (1).

106106381 is an equidigital number, since it uses as much as digits as its factorization.

106106381 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 106106381 is about 10300.7951634813. The cubic root of 106106381 is about 473.4206173207.

Adding to 106106381 its reverse (183601601), we get a palindrome (289707982).

The spelling of 106106381 in words is "one hundred six million, one hundred six thousand, three hundred eighty-one".