102126880 has 48 divisors (see below), whose sum is σ = 242331264. Its totient is φ = 40672000.

The previous prime is 102126863. The next prime is 102126889. The reversal of 102126880 is 88621201.

It is not an unprimeable number, because it can be changed into a prime (102126889) 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, 38889 + ... + 41431.

It is an arithmetic number, because the mean of its divisors is an integer number (5048568).

Almost surely, 2^102126880 is an apocalyptic number.

102126880 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 102126880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121165632).

102126880 is an abundant number, since it is smaller than the sum of its proper divisors (140204384).

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

102126880 is a wasteful number, since it uses less digits than its factorization.

102126880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2809 (or 2801 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 102126880 is about 10105.7844821666. The cubic root of 102126880 is about 467.4265262439.

The spelling of 102126880 in words is "one hundred two million, one hundred twenty-six thousand, eight hundred eighty".