105532164 has 36 divisors (see below), whose sum is σ = 267125040. Its totient is φ = 35129520.

The previous prime is 105532157. The next prime is 105532183. The reversal of 105532164 is 461235501.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×105532164² = 22274075277045792, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33447 + ... + 36465.

It is an arithmetic number, because the mean of its divisors is an integer number (7420140).

Almost surely, 2^105532164 is an apocalyptic number.

It is an amenable number.

105532164 is an abundant number, since it is smaller than the sum of its proper divisors (161592876).

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

105532164 is a wasteful number, since it uses less digits than its factorization.

105532164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4000 (or 3995 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 105532164 is about 10272.8848917916. The cubic root of 105532164 is about 472.5650670450.

Adding to 105532164 its reverse (461235501), we get a palindrome (566767665).

The spelling of 105532164 in words is "one hundred five million, five hundred thirty-two thousand, one hundred sixty-four".