105134436 has 72 divisors (see below), whose sum is σ = 300684384. Its totient is φ = 31855680.

The previous prime is 105134417. The next prime is 105134437. The reversal of 105134436 is 634431501.

It is a super-2 number, since 2×105134436² = 22106499266076192, which 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 (105134437) 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, 5776 + ... + 15608.

It is an arithmetic number, because the mean of its divisors is an integer number (4176172).

Almost surely, 2^105134436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105134436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150342192).

105134436 is an abundant number, since it is smaller than the sum of its proper divisors (195549948).

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

105134436 is a wasteful number, since it uses less digits than its factorization.

105134436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9863 (or 9849 counting only the distinct ones).

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

The square root of 105134436 is about 10253.5084727131. The cubic root of 105134436 is about 471.9706543567.

Adding to 105134436 its reverse (634431501), we get a palindrome (739565937).

It can be divided in two parts, 105134 and 436, that added together give a triangular number (105570 = T₄₅₉).

The spelling of 105134436 in words is "one hundred five million, one hundred thirty-four thousand, four hundred thirty-six".