102642958080 has 288 divisors, whose sum is σ = 392260115520. Its totient is φ = 25265848320.

The previous prime is 102642958073. The next prime is 102642958097. The reversal of 102642958080 is 80859246201.

102642958080 is a `hidden beast` number, since 1 + 0 + 2 + 64 + 2 + 9 + 580 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 335050 + ... + 563510.

It is an arithmetic number, because the mean of its divisors is an integer number (1362014290).

Almost surely, 2^102642958080 is an apocalyptic number.

102642958080 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 102642958080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196130057760).

102642958080 is an abundant number, since it is smaller than the sum of its proper divisors (289617157440).

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

102642958080 is a wasteful number, since it uses less digits than its factorization.

102642958080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228504 (or 228484 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 102642958080 in words is "one hundred two billion, six hundred forty-two million, nine hundred fifty-eight thousand, eighty".