102952142784 has 168 divisors, whose sum is σ = 305550702080. Its totient is φ = 33108134400.

The previous prime is 102952142773. The next prime is 102952142803. The reversal of 102952142784 is 487241259201.

102952142784 is a `hidden beast` number, since 1 + 0 + 2 + 9 + 521 + 42 + 7 + 84 = 666.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5901627 + ... + 5919045.

Almost surely, 2^102952142784 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 102952142784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152775351040).

102952142784 is an abundant number, since it is smaller than the sum of its proper divisors (202598559296).

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

102952142784 is a wasteful number, since it uses less digits than its factorization.

102952142784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17799 (or 17786 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 102952142784 in words is "one hundred two billion, nine hundred fifty-two million, one hundred forty-two thousand, seven hundred eighty-four".