102480664104 has 768 divisors, whose sum is σ = 375130828800. Its totient is φ = 25471936512.

The previous prime is 102480664079. The next prime is 102480664133. The reversal of 102480664104 is 401466084201.

It is a happy number.

102480664104 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 8 + 0 + 6 + 641 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 191 ways as a sum of consecutive naturals, for example, 362122347 + ... + 362122629.

It is an arithmetic number, because the mean of its divisors is an integer number (488451600).

Almost surely, 2^102480664104 is an apocalyptic number.

102480664104 is a gapful number since it is divisible by the number (14) 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 102480664104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187565414400).

102480664104 is an abundant number, since it is smaller than the sum of its proper divisors (272650164696).

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

102480664104 is a wasteful number, since it uses less digits than its factorization.

102480664104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 102480664104 in words is "one hundred two billion, four hundred eighty million, six hundred sixty-four thousand, one hundred four".