105219870 has 64 divisors (see below), whose sum is σ = 292709376. Its totient is φ = 23708160.

The previous prime is 105219869. The next prime is 105219911. The reversal of 105219870 is 78912501.

It is a super-2 number, since 2×105219870² = 22142442085633800, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 11382 + ... + 18438.

It is an arithmetic number, because the mean of its divisors is an integer number (4573584).

Almost surely, 2^105219870 is an apocalyptic number.

105219870 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105219870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146354688).

105219870 is an abundant number, since it is smaller than the sum of its proper divisors (187489506).

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

105219870 is a wasteful number, since it uses less digits than its factorization.

105219870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7145.

The product of its (nonzero) digits is 5040, while the sum is 33.

The square root of 105219870 is about 10257.6737128844. The cubic root of 105219870 is about 472.0984634906.

The spelling of 105219870 in words is "one hundred five million, two hundred nineteen thousand, eight hundred seventy".