102446880 has 96 divisors (see below), whose sum is σ = 328878144. Its totient is φ = 26797056.

The previous prime is 102446873. The next prime is 102446957. The reversal of 102446880 is 88644201.

It is a tau number, because it is divible by the number of its divisors (96).

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, 23427 + ... + 27453.

It is an arithmetic number, because the mean of its divisors is an integer number (3425814).

Almost surely, 2^102446880 is an apocalyptic number.

102446880 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 102446880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164439072).

102446880 is an abundant number, since it is smaller than the sum of its proper divisors (226431264).

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

102446880 is a wasteful number, since it uses less digits than its factorization.

102446880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4098 (or 4090 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 102446880 is about 10121.6046158700. The cubic root of 102446880 is about 467.9142219881.

The spelling of 102446880 in words is "one hundred two million, four hundred forty-six thousand, eight hundred eighty".