105256000 has 112 divisors (see below), whose sum is σ = 266273280. Its totient is φ = 41203200.

The previous prime is 105255977. The next prime is 105256003. The reversal of 105256000 is 652501.

It is a happy number.

It is a super-2 number, since 2×105256000² = 22157651072000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105256003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 471889 + ... + 472111.

It is an arithmetic number, because the mean of its divisors is an integer number (2377440).

Almost surely, 2^105256000 is an apocalyptic number.

105256000 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 105256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133136640).

105256000 is an abundant number, since it is smaller than the sum of its proper divisors (161017280).

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

105256000 is an equidigital number, since it uses as much as digits as its factorization.

105256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 105256000 is about 10259.4346822815. The cubic root of 105256000 is about 472.1524931003.

The spelling of 105256000 in words is "one hundred five million, two hundred fifty-six thousand".