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106306210379 is a prime number
BaseRepresentation
bin110001100000001011…
…0000000101001001011
3101011101122220000121002
41203000112000221023
53220203342213004
6120500355005215
710452236610335
oct1430026005113
9334348800532
10106306210379
11410a20a2316
121872989980b
13a04216bc85
1452067bc455
152b72bab61e
hex18c0580a4b

106306210379 has 2 divisors, whose sum is σ = 106306210380. Its totient is φ = 106306210378.

The previous prime is 106306210343. The next prime is 106306210411. The reversal of 106306210379 is 973012603601.

It is a happy number.

It is a strong prime.

It is an emirp because it is prime and its reverse (973012603601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106306210379 - 28 = 106306210123 is a prime.

It is a super-2 number, since 2×1063062103792 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106306210579) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53153105189 + 53153105190.

It is an arithmetic number, because the mean of its divisors is an integer number (53153105190).

Almost surely, 2106306210379 is an apocalyptic number.

106306210379 is a deficient number, since it is larger than the sum of its proper divisors (1).

106306210379 is an equidigital number, since it uses as much as digits as its factorization.

106306210379 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40824, while the sum is 38.

The spelling of 106306210379 in words is "one hundred six billion, three hundred six million, two hundred ten thousand, three hundred seventy-nine".