102137743 has 2 divisors, whose sum is σ = 102137744. Its totient is φ = 102137742.

The previous prime is 102137741. The next prime is 102137773. The reversal of 102137743 is 347731201.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 102137743 - 2¹ = 102137741 is a prime.

Together with 102137741, 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 (102137741) 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, 51068871 + 51068872.

It is an arithmetic number, because the mean of its divisors is an integer number (51068872).

Almost surely, 2^102137743 is an apocalyptic number.

102137743 is a deficient number, since it is larger than the sum of its proper divisors (1).

102137743 is an equidigital number, since it uses as much as digits as its factorization.

102137743 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3528, while the sum is 28.

The square root of 102137743 is about 10106.3219323352. The cubic root of 102137743 is about 467.4430986824.

Adding to 102137743 its reverse (347731201), we get a palindrome (449868944).

It can be divided in two parts, 10213 and 7743, that added together give a square (17956 = 134²).

The spelling of 102137743 in words is "one hundred two million, one hundred thirty-seven thousand, seven hundred forty-three".