102781680 has 80 divisors (see below), whose sum is σ = 320125344. Its totient is φ = 27279360.

The previous prime is 102781669. The next prime is 102781691. The reversal of 102781680 is 86187201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102781669) and next prime (102781691).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56952 + ... + 58728.

Almost surely, 2^102781680 is an apocalyptic number.

102781680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102781680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160062672).

102781680 is an abundant number, since it is smaller than the sum of its proper divisors (217343664).

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

102781680 is a wasteful number, since it uses less digits than its factorization.

102781680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2034 (or 2028 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 102781680 is about 10138.1300050848. The cubic root of 102781680 is about 468.4233877672.

The spelling of 102781680 in words is "one hundred two million, seven hundred eighty-one thousand, six hundred eighty".