105628164 has 24 divisors (see below), whose sum is σ = 247410240. Its totient is φ = 35074464.

The previous prime is 105628151. The next prime is 105628169. The reversal of 105628164 is 461826501.

It is a super-2 number, since 2×105628164² = 22314618060021792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105628169) 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, 13579 + ... + 19890.

It is an arithmetic number, because the mean of its divisors is an integer number (10308760).

Almost surely, 2^105628164 is an apocalyptic number.

It is an amenable number.

105628164 is an abundant number, since it is smaller than the sum of its proper divisors (141782076).

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

105628164 is a wasteful number, since it uses less digits than its factorization.

105628164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33739 (or 33737 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 105628164 is about 10277.5563243409. The cubic root of 105628164 is about 472.7083172021.

The spelling of 105628164 in words is "one hundred five million, six hundred twenty-eight thousand, one hundred sixty-four".