102512880 has 120 divisors (see below), whose sum is σ = 346683168. Its totient is φ = 27145728.

The previous prime is 102512867. The next prime is 102512887. The reversal of 102512880 is 88215201.

It is a tau number, because it is divible by the number of its divisors (120).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102512887) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124149 + ... + 124971.

Almost surely, 2^102512880 is an apocalyptic number.

102512880 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 102512880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173341584).

102512880 is an abundant number, since it is smaller than the sum of its proper divisors (244170288).

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

102512880 is a wasteful number, since it uses less digits than its factorization.

102512880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 102512880 is about 10124.8644435370. The cubic root of 102512880 is about 468.0146828617.

It can be divided in two parts, 10251 and 2880, that added together give a palindrome (13131).

The spelling of 102512880 in words is "one hundred two million, five hundred twelve thousand, eight hundred eighty".