Search a number
-
+
106349377 is a prime number
BaseRepresentation
bin1100101011011…
…00001101000001
321102010002220211
412111230031001
5204211140002
614315234121
72430645331
oct625541501
9242102824
10106349377
1155038952
122b748941
1319057834
14101a50c1
15950add7
hex656c341

106349377 has 2 divisors, whose sum is σ = 106349378. Its totient is φ = 106349376.

The previous prime is 106349339. The next prime is 106349389. The reversal of 106349377 is 773943601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65950641 + 40398736 = 8121^2 + 6356^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106349377 is a prime.

It is a super-2 number, since 2×1063493772 = 22620379976576258, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106349077) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53174688 + 53174689.

It is an arithmetic number, because the mean of its divisors is an integer number (53174689).

Almost surely, 2106349377 is an apocalyptic number.

It is an amenable number.

106349377 is a deficient number, since it is larger than the sum of its proper divisors (1).

106349377 is an equidigital number, since it uses as much as digits as its factorization.

106349377 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 95256, while the sum is 40.

The square root of 106349377 is about 10312.5834299655. The cubic root of 106349377 is about 473.7817379526.

The spelling of 106349377 in words is "one hundred six million, three hundred forty-nine thousand, three hundred seventy-seven".