105645144 has 64 divisors (see below), whose sum is σ = 298080000. Its totient is φ = 30907520.

The previous prime is 105645097. The next prime is 105645167. The reversal of 105645144 is 441546501.

It is a super-2 number, since 2×105645144² = 22321792901561472, which 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, 757 + ... + 14555.

It is an arithmetic number, because the mean of its divisors is an integer number (4657500).

Almost surely, 2^105645144 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 105645144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149040000).

105645144 is an abundant number, since it is smaller than the sum of its proper divisors (192434856).

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

105645144 is a wasteful number, since it uses less digits than its factorization.

105645144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13848 (or 13844 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 105645144 is about 10278.3823629986. The cubic root of 105645144 is about 472.7336455390.

The spelling of 105645144 in words is "one hundred five million, six hundred forty-five thousand, one hundred forty-four".