105489920 has 80 divisors (see below), whose sum is σ = 256322880. Its totient is φ = 41631744.

The previous prime is 105489911. The next prime is 105489961. The reversal of 105489920 is 29984501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×105489920² = 22256246443212800, 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 7 ways as a sum of consecutive naturals, for example, 227609 + ... + 228071.

It is an arithmetic number, because the mean of its divisors is an integer number (3204036).

Almost surely, 2^105489920 is an apocalyptic number.

105489920 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 105489920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128161440).

105489920 is an abundant number, since it is smaller than the sum of its proper divisors (150832960).

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

105489920 is an frugal number, since it uses more digits than its factorization.

105489920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 38.

The square root of 105489920 is about 10270.8285936433. The cubic root of 105489920 is about 472.5020034815.

The spelling of 105489920 in words is "one hundred five million, four hundred eighty-nine thousand, nine hundred twenty".