105531336 has 80 divisors (see below), whose sum is σ = 297841500. Its totient is φ = 34909056.

The previous prime is 105531329. The next prime is 105531379. The reversal of 105531336 is 633135501.

It can be written as a sum of positive squares in 2 ways, for example, as 104162436 + 1368900 = 10206^2 + 1170^2 .

It is a super-2 number, since 2×105531336² = 22273725755889792, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 96006 + ... + 97098.

Almost surely, 2^105531336 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 105531336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148920750).

105531336 is an abundant number, since it is smaller than the sum of its proper divisors (192310164).

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

105531336 is a wasteful number, since it uses less digits than its factorization.

105531336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1260 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

The square root of 105531336 is about 10272.8445914459. The cubic root of 105531336 is about 472.5638311346.

Adding to 105531336 its reverse (633135501), we get a palindrome (738666837).

It can be divided in two parts, 105 and 531336, that added together give a 12-th power (531441 = 3¹²).

The spelling of 105531336 in words is "one hundred five million, five hundred thirty-one thousand, three hundred thirty-six".