105091200 has 288 divisors, whose sum is σ = 388451700. Its totient is φ = 27033600.

The previous prime is 105091199. The next prime is 105091219. The reversal of 105091200 is 2190501.

It can be written as a sum of positive squares in 6 ways, for example, as 3968064 + 101123136 = 1992^2 + 10056^2 .

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

It is a super-2 number, since 2×105091200² = 22088320634880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1180756 + ... + 1180844.

Almost surely, 2^105091200 is an apocalyptic number.

105091200 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 105091200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194225850).

105091200 is an abundant number, since it is smaller than the sum of its proper divisors (283360500).

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

105091200 is a wasteful number, since it uses less digits than its factorization.

105091200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 105091200 is about 10251.3999044033. The cubic root of 105091200 is about 471.9059469784.

The spelling of 105091200 in words is "one hundred five million, ninety-one thousand, two hundred".