102774 has 16 divisors (see below), whose sum is σ = 235008. Its totient is φ = 29352.

The previous prime is 102769. The next prime is 102793. The reversal of 102774 is 477201.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 102774.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 102774.

It is an unprimeable number.

102774 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1182 + ... + 1265.

It is an arithmetic number, because the mean of its divisors is an integer number (14688).

2¹⁰²⁷⁷⁴ is an apocalyptic number.

102774 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

102774 is an abundant number, since it is smaller than the sum of its proper divisors (132234).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102774 is a wasteful number, since it uses less digits than its factorization.

102774 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2459.

The product of its (nonzero) digits is 392, while the sum is 21.

The square root of 102774 is about 320.5838423876. The cubic root of 102774 is about 46.8411720379.

Adding to 102774 its reverse (477201), we get a palindrome (579975).

The spelling of 102774 in words is "one hundred two thousand, seven hundred seventy-four", and thus it is an iban number.