105590064 has 40 divisors (see below), whose sum is σ = 276625152. Its totient is φ = 34699840.

The previous prime is 105590063. The next prime is 105590143. The reversal of 105590064 is 460095501.

It is a super-2 number, since 2×105590064² = 22298523231048192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105590063) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12084 + ... + 18899.

Almost surely, 2^105590064 is an apocalyptic number.

It is an amenable number.

105590064 is an abundant number, since it is smaller than the sum of its proper divisors (171035088).

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

105590064 is a wasteful number, since it uses less digits than its factorization.

105590064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31065 (or 31059 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 105590064 is about 10275.7026037152. The cubic root of 105590064 is about 472.6514751881.

It can be divided in two parts, 1055 and 90064, that added together give a palindrome (91119).

The spelling of 105590064 in words is "one hundred five million, five hundred ninety thousand, sixty-four".