102351110052240 has 480 divisors, whose sum is σ = 393490664985600. Its totient is φ = 23355423138816.

The previous prime is 102351110052229. The next prime is 102351110052461. The reversal of 102351110052240 is 42250011153201.

It is a happy number.

102351110052240 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 511 + 100 + 5 + 2 + 2 + 40 = 666.

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 95 ways as a sum of consecutive naturals, for example, 9595111387 + ... + 9595122053.

It is an arithmetic number, because the mean of its divisors is an integer number (819772218720).

Almost surely, 2^{102351110052240} is an apocalyptic number.

102351110052240 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 102351110052240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196745332492800).

102351110052240 is an abundant number, since it is smaller than the sum of its proper divisors (291139554933360).

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

102351110052240 is a wasteful number, since it uses less digits than its factorization.

102351110052240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13699 (or 13690 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 102351110052240 in words is "one hundred two trillion, three hundred fifty-one billion, one hundred ten million, fifty-two thousand, two hundred forty".