105987280 has 80 divisors (see below), whose sum is σ = 287017344. Its totient is φ = 35642880.

The previous prime is 105987247. The next prime is 105987281. The reversal of 105987280 is 82789501.

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

It is a super-2 number, since 2×105987280² = 22466607043596800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105987281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27895 + ... + 31465.

Almost surely, 2^105987280 is an apocalyptic number.

105987280 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 105987280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143508672).

105987280 is an abundant number, since it is smaller than the sum of its proper divisors (181030064).

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

105987280 is a wasteful number, since it uses less digits than its factorization.

105987280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3644 (or 3638 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 40.

The square root of 105987280 is about 10295.0123846453. The cubic root of 105987280 is about 473.2434178651.

The spelling of 105987280 in words is "one hundred five million, nine hundred eighty-seven thousand, two hundred eighty".