102466756672 has 56 divisors (see below), whose sum is σ = 232793292096. Its totient is φ = 43836215808.

The previous prime is 102466756669. The next prime is 102466756681. The reversal of 102466756672 is 276657664201.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49098 + ... + 455350.

Almost surely, 2^102466756672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102466756672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116396646048).

102466756672 is an abundant number, since it is smaller than the sum of its proper divisors (130326535424).

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

102466756672 is an equidigital number, since it uses as much as digits as its factorization.

102466756672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406835 (or 406825 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 52.

The spelling of 102466756672 in words is "one hundred two billion, four hundred sixty-six million, seven hundred fifty-six thousand, six hundred seventy-two".