105799600 has 60 divisors (see below), whose sum is σ = 267580840. Its totient is φ = 40089600.

The previous prime is 105799571. The next prime is 105799601. The reversal of 105799600 is 6997501.

It is a super-2 number, since 2×105799600² = 22387110720320000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105799600.

It is not an unprimeable number, because it can be changed into a prime (105799601) 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, 640 + ... + 14560.

Almost surely, 2^105799600 is an apocalyptic number.

105799600 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 105799600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133790420).

105799600 is an abundant number, since it is smaller than the sum of its proper divisors (161781240).

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

105799600 is a wasteful number, since it uses less digits than its factorization.

105799600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13958 (or 13947 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 37.

The square root of 105799600 is about 10285.8932524113. The cubic root of 105799600 is about 472.9639163936.

The spelling of 105799600 in words is "one hundred five million, seven hundred ninety-nine thousand, six hundred".