102880116 has 36 divisors (see below), whose sum is σ = 260464932. Its totient is φ = 34239744.

The previous prime is 102880109. The next prime is 102880121. The reversal of 102880116 is 611088201.

It can be written as a sum of positive squares in 2 ways, for example, as 7817616 + 95062500 = 2796^2 + 9750^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 102880116.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25980 + ... + 29676.

It is an arithmetic number, because the mean of its divisors is an integer number (7235137).

Almost surely, 2^102880116 is an apocalyptic number.

It is an amenable number.

102880116 is an abundant number, since it is smaller than the sum of its proper divisors (157584816).

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

102880116 is a wasteful number, since it uses less digits than its factorization.

102880116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4480 (or 4475 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 102880116 is about 10142.9835847250. The cubic root of 102880116 is about 468.5728794288.

The spelling of 102880116 in words is "one hundred two million, eight hundred eighty thousand, one hundred sixteen".