10505661104 has 80 divisors (see below), whose sum is σ = 21616696800. Its totient is φ = 4938565632.

The previous prime is 10505661097. The next prime is 10505661109. The reversal of 10505661104 is 40116650501.

10505661104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10505661104² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (10505661109) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2764934 + ... + 2768730.

It is an arithmetic number, because the mean of its divisors is an integer number (270208710).

Almost surely, 2^10505661104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10505661104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10808348400).

10505661104 is an abundant number, since it is smaller than the sum of its proper divisors (11111035696).

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

10505661104 is a wasteful number, since it uses less digits than its factorization.

10505661104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3990 (or 3984 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 29.

The spelling of 10505661104 in words is "ten billion, five hundred five million, six hundred sixty-one thousand, one hundred four".