105524465344 has 56 divisors (see below), whose sum is σ = 213466606848. Its totient is φ = 51738685440.

The previous prime is 105524465339. The next prime is 105524465357. The reversal of 105524465344 is 443564425501.

It is a super-2 number, since 2×105524465344² (a number of 23 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 105524465344.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7153144 + ... + 7167880.

Almost surely, 2^105524465344 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 105524465344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106733303424).

105524465344 is an abundant number, since it is smaller than the sum of its proper divisors (107942141504).

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

105524465344 is a wasteful number, since it uses less digits than its factorization.

105524465344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16913 (or 16903 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 43.

The spelling of 105524465344 in words is "one hundred five billion, five hundred twenty-four million, four hundred sixty-five thousand, three hundred forty-four".