102749 has 4 divisors (see below), whose sum is σ = 105564. Its totient is φ = 99936.

The previous prime is 102701. The next prime is 102761. The reversal of 102749 is 947201.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 947201 = 283 ⋅3347.

It can be written as a sum of positive squares in 2 ways, for example, as 55225 + 47524 = 235^2 + 218^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102749 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 (102769) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1352 + ... + 1425.

It is an arithmetic number, because the mean of its divisors is an integer number (26391).

2¹⁰²⁷⁴⁹ is an apocalyptic number.

It is an amenable number.

102749 is a deficient number, since it is larger than the sum of its proper divisors (2815).

102749 is an equidigital number, since it uses as much as digits as its factorization.

102749 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2814.

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 102749 is about 320.5448486562. The cubic root of 102749 is about 46.8373736574.

The spelling of 102749 in words is "one hundred two thousand, seven hundred forty-nine".