Search a number
-
+
106187346497 is a prime number
BaseRepresentation
bin110001011100101000…
…0100101001001000001
3101011002101020010000002
41202321100211021001
53214432430041442
6120440511205345
710446264360401
oct1427120451101
9334071203002
10106187346497
1141040a97101
12186b5b16855
13a02365220b
1451d4aba801
152b6752c732
hex18b9425241

106187346497 has 2 divisors, whose sum is σ = 106187346498. Its totient is φ = 106187346496.

The previous prime is 106187346493. The next prime is 106187346511. The reversal of 106187346497 is 794643781601.

It is a Cunningham number, because it is equal to 3258642+1.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 106187346496 + 1 = 325864^2 + 1^2 .

It is a cyclic number.

It is not a de Polignac number, because 106187346497 - 22 = 106187346493 is a prime.

It is a super-2 number, since 2×1061873464972 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106187346491) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53093673248 + 53093673249.

It is an arithmetic number, because the mean of its divisors is an integer number (53093673249).

Almost surely, 2106187346497 is an apocalyptic number.

It is an amenable number.

106187346497 is a deficient number, since it is larger than the sum of its proper divisors (1).

106187346497 is an equidigital number, since it uses as much as digits as its factorization.

106187346497 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6096384, while the sum is 56.

The spelling of 106187346497 in words is "one hundred six billion, one hundred eighty-seven million, three hundred forty-six thousand, four hundred ninety-seven".