105012000 has 144 divisors (see below), whose sum is σ = 372815352. Its totient is φ = 27993600.

The previous prime is 105011989. The next prime is 105012001. The reversal of 105012000 is 210501.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 69155856 + 35856144 = 8316^2 + 5988^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×105012000² = 22055040288000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (105012001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34542 + ... + 37458.

Almost surely, 2^105012000 is an apocalyptic number.

105012000 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 105012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186407676).

105012000 is an abundant number, since it is smaller than the sum of its proper divisors (267803352).

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

105012000 is a wasteful number, since it uses less digits than its factorization.

105012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2948 (or 2927 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 105012000 is about 10247.5362892746. The cubic root of 105012000 is about 471.7873695146.

Adding to 105012000 its reverse (210501), we get a palindrome (105222501).

The spelling of 105012000 in words is "one hundred five million, twelve thousand".