102735743 has 16 divisors (see below), whose sum is σ = 119141280. Its totient is φ = 87856000.

The previous prime is 102735727. The next prime is 102735751. The reversal of 102735743 is 347537201.

It is not a de Polignac number, because 102735743 - 2⁴ = 102735727 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102734743) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53093 + ... + 54993.

It is an arithmetic number, because the mean of its divisors is an integer number (7446330).

Almost surely, 2^102735743 is an apocalyptic number.

102735743 is a deficient number, since it is larger than the sum of its proper divisors (16405537).

102735743 is an equidigital number, since it uses as much as digits as its factorization.

102735743 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1963 (or 1929 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 32.

The square root of 102735743 is about 10135.8641960121. The cubic root of 102735743 is about 468.3535920225.

The spelling of 102735743 in words is "one hundred two million, seven hundred thirty-five thousand, seven hundred forty-three".