105158320 has 20 divisors (see below), whose sum is σ = 244493280. Its totient is φ = 42063296.

The previous prime is 105158303. The next prime is 105158353. The reversal of 105158320 is 23851501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×105158320² = 22116544530444800, which contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 657160 + ... + 657319.

It is an arithmetic number, because the mean of its divisors is an integer number (12224664).

Almost surely, 2^105158320 is an apocalyptic number.

105158320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105158320 is an abundant number, since it is smaller than the sum of its proper divisors (139334960).

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

105158320 is a wasteful number, since it uses less digits than its factorization.

105158320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314492 (or 1314486 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

The square root of 105158320 is about 10254.6730810884. The cubic root of 105158320 is about 472.0063917549.

The spelling of 105158320 in words is "one hundred five million, one hundred fifty-eight thousand, three hundred twenty".