219945105 has 32 divisors (see below), whose sum is σ = 394627200. Its totient is φ = 116220096.

The previous prime is 219945091. The next prime is 219945137. The reversal of 219945105 is 501549912.

It is not a de Polignac number, because 219945105 - 2⁵ = 219945073 is a prime.

It is a super-2 number, since 2×219945105² = 96751698426922050, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 219945105.

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 31 ways as a sum of consecutive naturals, for example, 7242 + ... + 22188.

It is an arithmetic number, because the mean of its divisors is an integer number (12332100).

Almost surely, 2^219945105 is an apocalyptic number.

It is an amenable number.

219945105 is a deficient number, since it is larger than the sum of its proper divisors (174682095).

219945105 is a wasteful number, since it uses less digits than its factorization.

219945105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15070 (or 15064 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The square root of 219945105 is about 14830.5463486683. The cubic root of 219945105 is about 603.6308587870.

The spelling of 219945105 in words is "two hundred nineteen million, nine hundred forty-five thousand, one hundred five".