102594141663000 has 512 divisors, whose sum is σ = 352634615424000. Its totient is φ = 24825815539200.

The previous prime is 102594141662963. The next prime is 102594141663011. The reversal of 102594141663000 is 366141495201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 388737087 + ... + 389000913.

It is an arithmetic number, because the mean of its divisors is an integer number (688739483250).

Almost surely, 2^{102594141663000} is an apocalyptic number.

102594141663000 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 102594141663000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176317307712000).

102594141663000 is an abundant number, since it is smaller than the sum of its proper divisors (250040473761000).

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

102594141663000 is a wasteful number, since it uses less digits than its factorization.

102594141663000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263949 (or 263909 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 102594141663000 in words is "one hundred two trillion, five hundred ninety-four billion, one hundred forty-one million, six hundred sixty-three thousand".