105825000 has 192 divisors, whose sum is σ = 354352320. Its totient is φ = 26240000.

The previous prime is 105824993. The next prime is 105825011. The reversal of 105825000 is 528501.

It is a super-2 number, since 2×105825000² = 22397861250000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1274959 + ... + 1275041.

It is an arithmetic number, because the mean of its divisors is an integer number (1845585).

Almost surely, 2^105825000 is an apocalyptic number.

105825000 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 105825000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177176160).

105825000 is an abundant number, since it is smaller than the sum of its proper divisors (248527320).

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

105825000 is an equidigital number, since it uses as much as digits as its factorization.

105825000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 105825000 is about 10287.1278790535. The cubic root of 105825000 is about 473.0017625425.

The spelling of 105825000 in words is "one hundred five million, eight hundred twenty-five thousand".