105055055506000 has 40 divisors (see below), whose sum is σ = 254023124218344. Its totient is φ = 42022022201600.

The previous prime is 105055055505889. The next prime is 105055055506007. The reversal of 105055055506000 is 605550550501.

It can be written as a sum of positive squares in 4 ways, for example, as 1359285501456 + 103695770004544 = 1165884^2 + 10183112^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×105055055506000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105055055506007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26263761877 + ... + 26263765876.

Almost surely, 2^{105055055506000} is an apocalyptic number.

105055055506000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105055055506000 is an abundant number, since it is smaller than the sum of its proper divisors (148968068712344).

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

105055055506000 is an equidigital number, since it uses as much as digits as its factorization.

105055055506000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52527527776 (or 52527527760 counting only the distinct ones).

The product of its (nonzero) digits is 93750, while the sum is 37.

The spelling of 105055055506000 in words is "one hundred five trillion, fifty-five billion, fifty-five million, five hundred six thousand".