102782712 has 32 divisors (see below), whose sum is σ = 257921280. Its totient is φ = 34132320.

The previous prime is 102782711. The next prime is 102782737. The reversal of 102782712 is 217287201.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 102782712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102782711) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1398 + ... + 14405.

It is an arithmetic number, because the mean of its divisors is an integer number (8060040).

Almost surely, 2^102782712 is an apocalyptic number.

102782712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102782712 is an abundant number, since it is smaller than the sum of its proper divisors (155138568).

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

102782712 is a wasteful number, since it uses less digits than its factorization.

102782712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16083 (or 16079 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 30.

The square root of 102782712 is about 10138.1809019173. The cubic root of 102782712 is about 468.4249555282.

The spelling of 102782712 in words is "one hundred two million, seven hundred eighty-two thousand, seven hundred twelve".