102132443000 has 192 divisors, whose sum is σ = 285533277120. Its totient is φ = 33493152000.

The previous prime is 102132442987. The next prime is 102132443053. The reversal of 102132443000 is 344231201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3689210 + ... + 3716790.

It is an arithmetic number, because the mean of its divisors is an integer number (1487152485).

Almost surely, 2^102132443000 is an apocalyptic number.

102132443000 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 102132443000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142766638560).

102132443000 is an abundant number, since it is smaller than the sum of its proper divisors (183400834120).

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

102132443000 is a wasteful number, since it uses less digits than its factorization.

102132443000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27655 (or 27618 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 102132443000 its reverse (344231201), we get a palindrome (102476674201).

The spelling of 102132443000 in words is "one hundred two billion, one hundred thirty-two million, four hundred forty-three thousand".