105065160 has 32 divisors (see below), whose sum is σ = 315195840. Its totient is φ = 28017344.

The previous prime is 105065159. The next prime is 105065189. The reversal of 105065160 is 61560501.

It is a super-2 number, since 2×105065160² = 22077375691651200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 105065160.

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 7 ways as a sum of consecutive naturals, for example, 437652 + ... + 437891.

It is an arithmetic number, because the mean of its divisors is an integer number (9849870).

Almost surely, 2^105065160 is an apocalyptic number.

105065160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105065160 is an abundant number, since it is smaller than the sum of its proper divisors (210130680).

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

105065160 is a wasteful number, since it uses less digits than its factorization.

105065160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875557 (or 875553 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 105065160 is about 10250.1297552763. The cubic root of 105065160 is about 471.8669667214.

The spelling of 105065160 in words is "one hundred five million, sixty-five thousand, one hundred sixty".