105490488576 has 144 divisors (see below), whose sum is σ = 306619524288. Its totient is φ = 31931596800.

The previous prime is 105490488553. The next prime is 105490488673. The reversal of 105490488576 is 675884094501.

105490488576 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105490488576² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 8247306 + ... + 8260086.

It is an arithmetic number, because the mean of its divisors is an integer number (2129302252).

Almost surely, 2^105490488576 is an apocalyptic number.

105490488576 is a gapful number since it is divisible by the number (16) 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 105490488576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153309762144).

105490488576 is an abundant number, since it is smaller than the sum of its proper divisors (201129035712).

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

105490488576 is a wasteful number, since it uses less digits than its factorization.

105490488576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13788 (or 13774 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 57.

The spelling of 105490488576 in words is "one hundred five billion, four hundred ninety million, four hundred eighty-eight thousand, five hundred seventy-six".