105192153 has 12 divisors (see below), whose sum is σ = 165757488. Its totient is φ = 63752760.

The previous prime is 105192137. The next prime is 105192163. The reversal of 105192153 is 351291501.

It is not a de Polignac number, because 105192153 - 2⁴ = 105192137 is a prime.

It is a super-2 number, since 2×105192153² = 22130778105550818, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105192163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 531175 + ... + 531372.

It is an arithmetic number, because the mean of its divisors is an integer number (13813124).

Almost surely, 2^105192153 is an apocalyptic number.

It is an amenable number.

105192153 is a deficient number, since it is larger than the sum of its proper divisors (60565335).

105192153 is a wasteful number, since it uses less digits than its factorization.

105192153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062564 (or 1062561 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The square root of 105192153 is about 10256.3225865804. The cubic root of 105192153 is about 472.0570064849.

The spelling of 105192153 in words is "one hundred five million, one hundred ninety-two thousand, one hundred fifty-three".