102775680 has 192 divisors, whose sum is σ = 405756000. Its totient is φ = 23482368.

The previous prime is 102775679. The next prime is 102775691. The reversal of 102775680 is 86577201.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39046 + ... + 41594.

Almost surely, 2^102775680 is an apocalyptic number.

102775680 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 102775680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202878000).

102775680 is an abundant number, since it is smaller than the sum of its proper divisors (302980320).

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

102775680 is a wasteful number, since it uses less digits than its factorization.

102775680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2581 (or 2566 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 102775680 is about 10137.8340882064. The cubic root of 102775680 is about 468.4142726700.

The spelling of 102775680 in words is "one hundred two million, seven hundred seventy-five thousand, six hundred eighty".