105506011104 has 192 divisors, whose sum is σ = 308351292480. Its totient is φ = 31379374080.

The previous prime is 105506011067. The next prime is 105506011123. The reversal of 105506011104 is 401110605501.

It is a super-2 number, since 2×105506011104² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5567854 + ... + 5586770.

It is an arithmetic number, because the mean of its divisors is an integer number (1605996315).

Almost surely, 2^105506011104 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 105506011104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154175646240).

105506011104 is an abundant number, since it is smaller than the sum of its proper divisors (202845281376).

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

105506011104 is a wasteful number, since it uses less digits than its factorization.

105506011104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19093 (or 19085 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 24.

Adding to 105506011104 its reverse (401110605501), we get a palindrome (506616616605).

The spelling of 105506011104 in words is "one hundred five billion, five hundred six million, eleven thousand, one hundred four".