102143937600 has 336 divisors, whose sum is σ = 374312322240. Its totient is φ = 27095040000.

The previous prime is 102143937593. The next prime is 102143937713. The reversal of 102143937600 is 6739341201.

102143937600 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 43 + 9 + 3 + 7 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8331475 + ... + 8343725.

Almost surely, 2^102143937600 is an apocalyptic number.

102143937600 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 102143937600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187156161120).

102143937600 is an abundant number, since it is smaller than the sum of its proper divisors (272168384640).

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

102143937600 is a wasteful number, since it uses less digits than its factorization.

102143937600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12475 (or 12454 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 102143937600 in words is "one hundred two billion, one hundred forty-three million, nine hundred thirty-seven thousand, six hundred".