102555284349408 has 768 divisors, whose sum is σ = 314101073534976. Its totient is φ = 28994979594240.

The previous prime is 102555284349407. The next prime is 102555284349439. The reversal of 102555284349408 is 804943482555201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102555284349407) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 67337677735 + ... + 67337679257.

It is an arithmetic number, because the mean of its divisors is an integer number (408985772832).

Almost surely, 2^{102555284349408} 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 102555284349408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157050536767488).

102555284349408 is an abundant number, since it is smaller than the sum of its proper divisors (211545789185568).

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

102555284349408 is a wasteful number, since it uses less digits than its factorization.

102555284349408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2039 (or 2031 counting only the distinct ones).

The product of its (nonzero) digits is 55296000, while the sum is 60.

The spelling of 102555284349408 in words is "one hundred two trillion, five hundred fifty-five billion, two hundred eighty-four million, three hundred forty-nine thousand, four hundred eight".