102066480 has 200 divisors, whose sum is σ = 373599600. Its totient is φ = 25754112.

The previous prime is 102066463. The next prime is 102066491. The reversal of 102066480 is 84660201.

102066480 is a `hidden beast` number, since 10 + 2 + 0 + 6 + 648 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 122706 + ... + 123534.

It is an arithmetic number, because the mean of its divisors is an integer number (1867998).

Almost surely, 2^102066480 is an apocalyptic number.

102066480 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 102066480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186799800).

102066480 is an abundant number, since it is smaller than the sum of its proper divisors (271533120).

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

102066480 is a wasteful number, since it uses less digits than its factorization.

102066480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 102066480 is about 10102.7956526894. The cubic root of 102066480 is about 467.3343594222.

The spelling of 102066480 in words is "one hundred two million, sixty-six thousand, four hundred eighty".