105871200 has 144 divisors (see below), whose sum is σ = 355977216. Its totient is φ = 27302400.

The previous prime is 105871177. The next prime is 105871217. The reversal of 105871200 is 2178501.

It is a super-2 number, since 2×105871200² = 22417421978880000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73689 + ... + 75111.

It is an arithmetic number, because the mean of its divisors is an integer number (2472064).

Almost surely, 2^105871200 is an apocalyptic number.

105871200 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 105871200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177988608).

105871200 is an abundant number, since it is smaller than the sum of its proper divisors (250106016).

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

105871200 is a wasteful number, since it uses less digits than its factorization.

105871200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1477 (or 1464 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 24.

The square root of 105871200 is about 10289.3731587498. The cubic root of 105871200 is about 473.0705852911.

The spelling of 105871200 in words is "one hundred five million, eight hundred seventy-one thousand, two hundred".