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106187346493 is a prime number
BaseRepresentation
bin110001011100101000…
…0100101001000111101
3101011002101020002222221
41202321100211020331
53214432430041433
6120440511205341
710446264360364
oct1427120451075
9334071202887
10106187346493
1141040a970a8
12186b5b16851
13a023652207
1451d4aba7db
152b6752c72d
hex18b942523d

106187346493 has 2 divisors, whose sum is σ = 106187346494. Its totient is φ = 106187346492.

The previous prime is 106187346491. The next prime is 106187346497. The reversal of 106187346493 is 394643781601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102503706244 + 3683640249 = 320162^2 + 60693^2 .

It is a cyclic number.

It is not a de Polignac number, because 106187346493 - 21 = 106187346491 is a prime.

It is a super-2 number, since 2×1061873464932 (a number of 23 digits) contains 22 as substring.

Together with 106187346491, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 106187346493.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106187346491) 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, 53093673246 + 53093673247.

It is an arithmetic number, because the mean of its divisors is an integer number (53093673247).

Almost surely, 2106187346493 is an apocalyptic number.

It is an amenable number.

106187346493 is a deficient number, since it is larger than the sum of its proper divisors (1).

106187346493 is an equidigital number, since it uses as much as digits as its factorization.

106187346493 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2612736, while the sum is 52.

The spelling of 106187346493 in words is "one hundred six billion, one hundred eighty-seven million, three hundred forty-six thousand, four hundred ninety-three".