105523414520 has 64 divisors (see below), whose sum is σ = 240549160320. Its totient is φ = 41655543424.

The previous prime is 105523414511. The next prime is 105523414523. The reversal of 105523414520 is 25414325501.

It is a super-2 number, since 2×105523414520² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105523414523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3127259 + ... + 3160821.

It is an arithmetic number, because the mean of its divisors is an integer number (3758580630).

Almost surely, 2^105523414520 is an apocalyptic number.

105523414520 is a gapful number since it is divisible by the number (10) 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 105523414520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120274580160).

105523414520 is an abundant number, since it is smaller than the sum of its proper divisors (135025745800).

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

105523414520 is a wasteful number, since it uses less digits than its factorization.

105523414520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34604 (or 34600 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 32.

The spelling of 105523414520 in words is "one hundred five billion, five hundred twenty-three million, four hundred fourteen thousand, five hundred twenty".