105164424 has 24 divisors (see below), whose sum is σ = 284820510. Its totient is φ = 35054784.

The previous prime is 105164413. The next prime is 105164429. The reversal of 105164424 is 424461501.

105164424 is a `hidden beast` number, since 10 + 5 + 1 + 644 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 104407524 + 756900 = 10218^2 + 870^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×105164424² = 22119112150503552, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105164429) 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 5 ways as a sum of consecutive naturals, for example, 730237 + ... + 730380.

Almost surely, 2^105164424 is an apocalyptic number.

It is an amenable number.

105164424 is an abundant number, since it is smaller than the sum of its proper divisors (179656086).

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

105164424 is a wasteful number, since it uses less digits than its factorization.

105164424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1460629 (or 1460622 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 105164424 is about 10254.9706971790. The cubic root of 105164424 is about 472.0155242428.

The spelling of 105164424 in words is "one hundred five million, one hundred sixty-four thousand, four hundred twenty-four".