105412033314 has 192 divisors, whose sum is σ = 288942940800. Its totient is φ = 28304833536.

The previous prime is 105412033313. The next prime is 105412033319. The reversal of 105412033314 is 413330214501.

It is a happy number.

105412033314 is a `hidden beast` number, since 105 + 41 + 203 + 3 + 314 = 666.

It is a super-2 number, since 2×105412033314² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (105412033313) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42866617 + ... + 42869075.

It is an arithmetic number, because the mean of its divisors is an integer number (1504911150).

Almost surely, 2^105412033314 is an apocalyptic number.

105412033314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105412033314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144471470400).

105412033314 is an abundant number, since it is smaller than the sum of its proper divisors (183530907486).

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

105412033314 is a wasteful number, since it uses less digits than its factorization.

105412033314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3454 (or 3441 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 105412033314 its reverse (413330214501), we get a palindrome (518742247815).

The spelling of 105412033314 in words is "one hundred five billion, four hundred twelve million, thirty-three thousand, three hundred fourteen".