105533088 has 48 divisors (see below), whose sum is σ = 286584480. Its totient is φ = 33963776.

The previous prime is 105533081. The next prime is 105533143. The reversal of 105533088 is 880335501.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×105533088² = 22274465325631488, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105533081) 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 7 ways as a sum of consecutive naturals, for example, 16170 + ... + 21737.

It is an arithmetic number, because the mean of its divisors is an integer number (5970510).

Almost surely, 2^105533088 is an apocalyptic number.

It is an amenable number.

105533088 is an abundant number, since it is smaller than the sum of its proper divisors (181051392).

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

105533088 is a wasteful number, since it uses less digits than its factorization.

105533088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37949 (or 37941 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 105533088 is about 10272.9298644544. The cubic root of 105533088 is about 472.5664462418.

Adding to 105533088 its reverse (880335501), we get a palindrome (985868589).

It can be divided in two parts, 1055 and 33088, that added together give a palindrome (34143).

The spelling of 105533088 in words is "one hundred five million, five hundred thirty-three thousand, eighty-eight".