105311412 has 72 divisors (see below), whose sum is σ = 277641000. Its totient is φ = 33616128.

The previous prime is 105311407. The next prime is 105311417. The reversal of 105311412 is 214113501.

It is an interprime number because it is at equal distance from previous prime (105311407) and next prime (105311417).

It can be written as a sum of positive squares in 4 ways, for example, as 27941796 + 77369616 = 5286^2 + 8796^2 .

It is a super-2 number, since 2×105311412² = 22180986994867488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105311417) 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, 155218 + ... + 155894.

It is an arithmetic number, because the mean of its divisors is an integer number (3856125).

Almost surely, 2^105311412 is an apocalyptic number.

105311412 is a gapful number since it is divisible by the number (12) 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 105311412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138820500).

105311412 is an abundant number, since it is smaller than the sum of its proper divisors (172329588).

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

105311412 is a wasteful number, since it uses less digits than its factorization.

105311412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 105311412 is about 10262.1348656115. The cubic root of 105311412 is about 472.2353334266.

Adding to 105311412 its reverse (214113501), we get a palindrome (319424913).

The spelling of 105311412 in words is "one hundred five million, three hundred eleven thousand, four hundred twelve".