102960522282240 has 2880 divisors, whose sum is σ = 471374218022400. Its totient is φ = 20889848512512.

The previous prime is 102960522282229. The next prime is 102960522282281. The reversal of 102960522282240 is 42282225069201.

102960522282240 is a `hidden beast` number, since 1 + 0 + 2 + 9 + 6 + 0 + 522 + 2 + 82 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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 polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 60246062506 + ... + 60246064214.

It is an arithmetic number, because the mean of its divisors is an integer number (163671603480).

Almost surely, 2^{102960522282240} is an apocalyptic number.

102960522282240 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 102960522282240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235687109011200).

102960522282240 is an abundant number, since it is smaller than the sum of its proper divisors (368413695740160).

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

102960522282240 is a wasteful number, since it uses less digits than its factorization.

102960522282240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2042 (or 2019 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 102960522282240 in words is "one hundred two trillion, nine hundred sixty billion, five hundred twenty-two million, two hundred eighty-two thousand, two hundred forty".