102466990080 has 1248 divisors, whose sum is σ = 450806428800. Its totient is φ = 20950548480.

The previous prime is 102466990057. The next prime is 102466990183. The reversal of 102466990080 is 80099664201.

It is a happy number.

102466990080 is a `hidden beast` number, since 102 + 466 + 9 + 9 + 0 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 687697846 + ... + 687697994.

It is an arithmetic number, because the mean of its divisors is an integer number (361223100).

Almost surely, 2^102466990080 is an apocalyptic number.

102466990080 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 102466990080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225403214400).

102466990080 is an abundant number, since it is smaller than the sum of its proper divisors (348339438720).

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

102466990080 is a wasteful number, since it uses less digits than its factorization.

102466990080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 102466990080 in words is "one hundred two billion, four hundred sixty-six million, nine hundred ninety thousand, eighty".