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106007018503 is a prime number
BaseRepresentation
bin110001010111010000…
…0101011110000000111
3101010121210220111111111
41202232200223300013
53214100244043003
6120410550145451
710441644534661
oct1425640536007
9333553814444
10106007018503
1140a59220001
1218665652287
139cc5194c69
1451b8b79531
152b567abe6d
hex18ae82bc07

106007018503 has 2 divisors, whose sum is σ = 106007018504. Its totient is φ = 106007018502.

The previous prime is 106007018501. The next prime is 106007018539. The reversal of 106007018503 is 305810700601.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 106007018503 - 21 = 106007018501 is a prime.

It is a super-3 number, since 3×1060070185033 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 106007018501, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106007018501) 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, 53003509251 + 53003509252.

It is an arithmetic number, because the mean of its divisors is an integer number (53003509252).

Almost surely, 2106007018503 is an apocalyptic number.

106007018503 is a deficient number, since it is larger than the sum of its proper divisors (1).

106007018503 is an equidigital number, since it uses as much as digits as its factorization.

106007018503 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5040, while the sum is 31.

The spelling of 106007018503 in words is "one hundred six billion, seven million, eighteen thousand, five hundred three".