102484956672 has 480 divisors, whose sum is σ = 371511043200. Its totient is φ = 27736805376.

The previous prime is 102484956593. The next prime is 102484956727. The reversal of 102484956672 is 276659484201.

102484956672 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 8 + 4 + 9 + 566 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12866163 + ... + 12874125.

It is an arithmetic number, because the mean of its divisors is an integer number (773981340).

Almost surely, 2^102484956672 is an apocalyptic number.

102484956672 is a gapful number since it is divisible by the number (12) 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 102484956672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185755521600).

102484956672 is an abundant number, since it is smaller than the sum of its proper divisors (269026086528).

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

102484956672 is an equidigital number, since it uses as much as digits as its factorization.

102484956672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8023 (or 7994 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 102484956672 in words is "one hundred two billion, four hundred eighty-four million, nine hundred fifty-six thousand, six hundred seventy-two".