105262164 has 72 divisors (see below), whose sum is σ = 321991488. Its totient is φ = 28304640.

The previous prime is 105262153. The next prime is 105262217. The reversal of 105262164 is 461262501.

It is a super-2 number, since 2×105262164² = 22160246339925792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 8002 + ... + 16569.

It is an arithmetic number, because the mean of its divisors is an integer number (4472104).

Almost surely, 2^105262164 is an apocalyptic number.

105262164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105262164 is an abundant number, since it is smaller than the sum of its proper divisors (216729324).

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

105262164 is a wasteful number, since it uses less digits than its factorization.

105262164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24605 (or 24600 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 105262164 is about 10259.7350842992. The cubic root of 105262164 is about 472.1617096490.

The spelling of 105262164 in words is "one hundred five million, two hundred sixty-two thousand, one hundred sixty-four".