Search a number
-
+
106938493 is a prime number
BaseRepresentation
bin1100101111111…
…00000001111101
321110020001000221
412113330001331
5204334012433
614340021341
72435651014
oct627740175
9243201027
10106938493
1155400522
122b991851
1319202a1c
14102b9a7b
1595c572d
hex65fc07d

106938493 has 2 divisors, whose sum is σ = 106938494. Its totient is φ = 106938492.

The previous prime is 106938467. The next prime is 106938511. The reversal of 106938493 is 394839601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87198244 + 19740249 = 9338^2 + 4443^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106938493 is a prime.

It is a super-2 number, since 2×1069384932 = 22871682570222098, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106938193) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53469246 + 53469247.

It is an arithmetic number, because the mean of its divisors is an integer number (53469247).

Almost surely, 2106938493 is an apocalyptic number.

It is an amenable number.

106938493 is a deficient number, since it is larger than the sum of its proper divisors (1).

106938493 is an equidigital number, since it uses as much as digits as its factorization.

106938493 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 139968, while the sum is 43.

The square root of 106938493 is about 10341.1069523528. The cubic root of 106938493 is about 474.6549560661.

The spelling of 106938493 in words is "one hundred six million, nine hundred thirty-eight thousand, four hundred ninety-three".