105097168 has 40 divisors (see below), whose sum is σ = 228155040. Its totient is φ = 46477440.

The previous prime is 105097147. The next prime is 105097169. The reversal of 105097168 is 861790501.

It is a super-2 number, since 2×105097168² = 22090829443240448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105097169) 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 7 ways as a sum of consecutive naturals, for example, 1558 + ... + 14581.

It is an arithmetic number, because the mean of its divisors is an integer number (5703876).

Almost surely, 2^105097168 is an apocalyptic number.

It is an amenable number.

105097168 is an abundant number, since it is smaller than the sum of its proper divisors (123057872).

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

105097168 is a wasteful number, since it uses less digits than its factorization.

105097168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16195 (or 16189 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 37.

The square root of 105097168 is about 10251.6909824672. The cubic root of 105097168 is about 471.9148797955.

The spelling of 105097168 in words is "one hundred five million, ninety-seven thousand, one hundred sixty-eight".