Search a number
-
+
106187346491 is a prime number
BaseRepresentation
bin110001011100101000…
…0100101001000111011
3101011002101020002222212
41202321100211020323
53214432430041431
6120440511205335
710446264360362
oct1427120451073
9334071202885
10106187346491
1141040a970a6
12186b5b1684b
13a023652205
1451d4aba7d9
152b6752c72b
hex18b942523b

106187346491 has 2 divisors, whose sum is σ = 106187346492. Its totient is φ = 106187346490.

The previous prime is 106187346469. The next prime is 106187346493. The reversal of 106187346491 is 194643781601.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106187346491 is a prime.

It is a super-2 number, since 2×1061873464912 (a number of 23 digits) contains 22 as substring.

Together with 106187346493, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (106187346493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53093673245 + 53093673246.

It is an arithmetic number, because the mean of its divisors is an integer number (53093673246).

Almost surely, 2106187346491 is an apocalyptic number.

106187346491 is a deficient number, since it is larger than the sum of its proper divisors (1).

106187346491 is an equidigital number, since it uses as much as digits as its factorization.

106187346491 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 870912, while the sum is 50.

The spelling of 106187346491 in words is "one hundred six billion, one hundred eighty-seven million, three hundred forty-six thousand, four hundred ninety-one".