102605556558000 has 640 divisors, whose sum is σ = 354859347548160. Its totient is φ = 25414855065600.

The previous prime is 102605556557879. The next prime is 102605556558061. The reversal of 102605556558000 is 855655506201.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 4965655669 + ... + 4965676331.

It is an arithmetic number, because the mean of its divisors is an integer number (554467730544).

Almost surely, 2^{102605556558000} is an apocalyptic number.

102605556558000 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 102605556558000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177429673774080).

102605556558000 is an abundant number, since it is smaller than the sum of its proper divisors (252253790990160).

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

102605556558000 is a wasteful number, since it uses less digits than its factorization.

102605556558000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21342 (or 21326 counting only the distinct ones).

The product of its (nonzero) digits is 1800000, while the sum is 48.

The spelling of 102605556558000 in words is "one hundred two trillion, six hundred five billion, five hundred fifty-six million, five hundred fifty-eight thousand".