Search a number
-
+
106760257 is a prime number
BaseRepresentation
bin1100101110100…
…00100001000001
321102212222112121
412113100201001
5204312312012
614332124241
72434306252
oct627204101
9242788477
10106760257
115529961a
122b906681
131916c866
1410270b29
15958ca07
hex65d0841

106760257 has 2 divisors, whose sum is σ = 106760258. Its totient is φ = 106760256.

The previous prime is 106760243. The next prime is 106760263. The reversal of 106760257 is 752067601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80299521 + 26460736 = 8961^2 + 5144^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106760257 is a prime.

It is a super-2 number, since 2×1067602572 = 22795504949412098, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106760267) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53380128 + 53380129.

It is an arithmetic number, because the mean of its divisors is an integer number (53380129).

Almost surely, 2106760257 is an apocalyptic number.

It is an amenable number.

106760257 is a deficient number, since it is larger than the sum of its proper divisors (1).

106760257 is an equidigital number, since it uses as much as digits as its factorization.

106760257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 17640, while the sum is 34.

The square root of 106760257 is about 10332.4855189833. The cubic root of 106760257 is about 474.3911045641.

The spelling of 106760257 in words is "one hundred six million, seven hundred sixty thousand, two hundred fifty-seven".