105800544 has 72 divisors (see below), whose sum is σ = 303626232. Its totient is φ = 34944000.

The previous prime is 105800533. The next prime is 105800549. The reversal of 105800544 is 445008501.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×105800544² = 22387510221391872, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105800549) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30919 + ... + 34169.

It is an arithmetic number, because the mean of its divisors is an integer number (4217031).

Almost surely, 2^105800544 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 105800544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151813116).

105800544 is an abundant number, since it is smaller than the sum of its proper divisors (197825688).

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

105800544 is a wasteful number, since it uses less digits than its factorization.

105800544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3380 (or 3369 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 105800544 is about 10285.9391403994. The cubic root of 105800544 is about 472.9653230675.

The spelling of 105800544 in words is "one hundred five million, eight hundred thousand, five hundred forty-four".