105555105501000 has 256 divisors, whose sum is σ = 351450121052160. Its totient is φ = 26283659673600.

The previous prime is 105555105500993. The next prime is 105555105501089. The reversal of 105555105501000 is 105501555501.

It is a super-2 number, since 2×105555105501000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1671457 + ... + 14625456.

It is an arithmetic number, because the mean of its divisors is an integer number (1372852035360).

Almost surely, 2^{105555105501000} is an apocalyptic number.

105555105501000 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 105555105501000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175725060526080).

105555105501000 is an abundant number, since it is smaller than the sum of its proper divisors (245895015551160).

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

105555105501000 is a wasteful number, since it uses less digits than its factorization.

105555105501000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16297081 (or 16297067 counting only the distinct ones).

The product of its (nonzero) digits is 15625, while the sum is 33.

The spelling of 105555105501000 in words is "one hundred five trillion, five hundred fifty-five billion, one hundred five million, five hundred one thousand".