105550144 has 56 divisors (see below), whose sum is σ = 253471680. Its totient is φ = 42571776.

The previous prime is 105550129. The next prime is 105550147. The reversal of 105550144 is 441055501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×105550144² = 22281665796841472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105550147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 687 + ... + 14545.

It is an arithmetic number, because the mean of its divisors is an integer number (4526280).

Almost surely, 2^105550144 is an apocalyptic number.

105550144 is a gapful number since it is divisible by the number (14) 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 105550144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126735840).

105550144 is an abundant number, since it is smaller than the sum of its proper divisors (147921536).

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

105550144 is a wasteful number, since it uses less digits than its factorization.

105550144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13895 (or 13885 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

The square root of 105550144 is about 10273.7599738363. The cubic root of 105550144 is about 472.5919032155.

The spelling of 105550144 in words is "one hundred five million, five hundred fifty thousand, one hundred forty-four".