105940800 has 252 divisors, whose sum is σ = 430739296. Its totient is φ = 24192000.

The previous prime is 105940771. The next prime is 105940841. The reversal of 105940800 is 8049501.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×105940800² = 22446906209280000, which contains 22 as substring.

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, 100275 + ... + 101325.

Almost surely, 2^105940800 is an apocalyptic number.

105940800 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 105940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215369648).

105940800 is an abundant number, since it is smaller than the sum of its proper divisors (324798496).

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

105940800 is a wasteful number, since it uses less digits than its factorization.

105940800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 105940800 is about 10292.7547333063. The cubic root of 105940800 is about 473.1742285237.

The spelling of 105940800 in words is "one hundred five million, nine hundred forty thousand, eight hundred".