105991200 has 288 divisors, whose sum is σ = 438721920. Its totient is φ = 24192000.

The previous prime is 105991187. The next prime is 105991211. The reversal of 105991200 is 2199501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×105991200² = 22468268954880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150850 + ... + 151550.

It is an arithmetic number, because the mean of its divisors is an integer number (1523340).

Almost surely, 2^105991200 is an apocalyptic number.

105991200 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 105991200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219360960).

105991200 is an abundant number, since it is smaller than the sum of its proper divisors (332730720).

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

105991200 is a wasteful number, since it uses less digits than its factorization.

105991200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 27.

The square root of 105991200 is about 10295.2027663373. The cubic root of 105991200 is about 473.2492521857.

The spelling of 105991200 in words is "one hundred five million, nine hundred ninety-one thousand, two hundred".