10605505511104 has 112 divisors (see below), whose sum is σ = 24507914050368. Its totient is φ = 4459032834048.

The previous prime is 10605505511087. The next prime is 10605505511129. The reversal of 10605505511104 is 40111550550601.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×10605505511104² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10605505511104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 445354302 + ... + 445378114.

It is an arithmetic number, because the mean of its divisors is an integer number (218820661164).

Almost surely, 2^{10605505511104} is an apocalyptic number.

10605505511104 is a gapful number since it is divisible by the number (14) 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 10605505511104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12253957025184).

10605505511104 is an abundant number, since it is smaller than the sum of its proper divisors (13902408539264).

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

10605505511104 is a wasteful number, since it uses less digits than its factorization.

10605505511104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42642 (or 42632 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 34.

The spelling of 10605505511104 in words is "ten trillion, six hundred five billion, five hundred five million, five hundred eleven thousand, one hundred four".