105412000 has 144 divisors (see below), whose sum is σ = 277090632. Its totient is φ = 39398400.

The previous prime is 105411989. The next prime is 105412003. The reversal of 105412000 is 214501.

It can be written as a sum of positive squares in 4 ways, for example, as 34245904 + 71166096 = 5852^2 + 8436^2 .

It is a super-2 number, since 2×105412000² = 22223379488000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105412003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1443964 + ... + 1444036.

Almost surely, 2^105412000 is an apocalyptic number.

105412000 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 105412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138545316).

105412000 is an abundant number, since it is smaller than the sum of its proper divisors (171678632).

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

105412000 is an equidigital number, since it uses as much as digits as its factorization.

105412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 105412000 is about 10267.0346254408. The cubic root of 105412000 is about 472.3856371504.

Adding to 105412000 its reverse (214501), we get a palindrome (105626501).

The spelling of 105412000 in words is "one hundred five million, four hundred twelve thousand".