105989760 has 96 divisors (see below), whose sum is σ = 366015780. Its totient is φ = 28262400.

The previous prime is 105989753. The next prime is 105989761. The reversal of 105989760 is 67989501.

It can be written as a sum of positive squares in 2 ways, for example, as 105021504 + 968256 = 10248^2 + 984^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×105989760² = 22467658449715200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (105989761) 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, 3441 + ... + 14960.

Almost surely, 2^105989760 is an apocalyptic number.

105989760 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 105989760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183007890).

105989760 is an abundant number, since it is smaller than the sum of its proper divisors (260026020).

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

105989760 is a wasteful number, since it uses less digits than its factorization.

105989760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18426 (or 18411 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 105989760 is about 10295.1328306147. The cubic root of 105989760 is about 473.2471089826.

The spelling of 105989760 in words is "one hundred five million, nine hundred eighty-nine thousand, seven hundred sixty".