105799280 has 80 divisors (see below), whose sum is σ = 261007104. Its totient is φ = 39813120.

The previous prime is 105799271. The next prime is 105799283. The reversal of 105799280 is 82997501.

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

It is a super-2 number, since 2×105799280² = 22386975297036800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105799283) 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, 91184 + ... + 92336.

Almost surely, 2^105799280 is an apocalyptic number.

105799280 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 105799280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130503552).

105799280 is an abundant number, since it is smaller than the sum of its proper divisors (155207824).

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

105799280 is a wasteful number, since it uses less digits than its factorization.

105799280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1234 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 41.

The square root of 105799280 is about 10285.8776971146. The cubic root of 105799280 is about 472.9634395531.

The spelling of 105799280 in words is "one hundred five million, seven hundred ninety-nine thousand, two hundred eighty".