102478560 has 192 divisors, whose sum is σ = 341397504. Its totient is φ = 25804800.

The previous prime is 102478559. The next prime is 102478573. The reversal of 102478560 is 65874201.

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 31 ways as a sum of consecutive naturals, for example, 1056432 + ... + 1056528.

It is an arithmetic number, because the mean of its divisors is an integer number (1778112).

Almost surely, 2^102478560 is an apocalyptic number.

102478560 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 102478560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170698752).

102478560 is an abundant number, since it is smaller than the sum of its proper divisors (238918944).

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

102478560 is a wasteful number, since it uses less digits than its factorization.

102478560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 102478560 is about 10123.1694641550. The cubic root of 102478560 is about 467.9624485905.

The spelling of 102478560 in words is "one hundred two million, four hundred seventy-eight thousand, five hundred sixty".