102542286720 has 128 divisors (see below), whose sum is σ = 327116154240. Its totient is φ = 27322640384.

The previous prime is 102542286719. The next prime is 102542286761. The reversal of 102542286720 is 27682245201.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2442547 + ... + 2484173.

It is an arithmetic number, because the mean of its divisors is an integer number (2555594955).

Almost surely, 2^102542286720 is an apocalyptic number.

102542286720 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 102542286720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163558077120).

102542286720 is an abundant number, since it is smaller than the sum of its proper divisors (224573867520).

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

102542286720 is a wasteful number, since it uses less digits than its factorization.

102542286720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42932 (or 42920 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The spelling of 102542286720 in words is "one hundred two billion, five hundred forty-two million, two hundred eighty-six thousand, seven hundred twenty".