102924243000 has 256 divisors, whose sum is σ = 357621264000. Its totient is φ = 27383616000.

The previous prime is 102924242987. The next prime is 102924243013. The reversal of 102924243000 is 342429201.

102924243000 is a `hidden beast` number, since 102 + 92 + 42 + 430 + 0 + 0 = 666.

102924243000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (102924242987) and next prime (102924243013).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 63 ways as a sum of consecutive naturals, for example, 12442866 + ... + 12451134.

Almost surely, 2^102924243000 is an apocalyptic number.

102924243000 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 102924243000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178810632000).

102924243000 is an abundant number, since it is smaller than the sum of its proper divisors (254697021000).

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

102924243000 is a wasteful number, since it uses less digits than its factorization.

102924243000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8760 (or 8740 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 102924243000 in words is "one hundred two billion, nine hundred twenty-four million, two hundred forty-three thousand".