105419220 has 144 divisors (see below), whose sum is σ = 323624448. Its totient is φ = 25608960.

The previous prime is 105419191. The next prime is 105419269. The reversal of 105419220 is 22914501.

It is a super-2 number, since 2×105419220² = 22226423890816800, which contains 22 as substring.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 671382 + ... + 671538.

It is an arithmetic number, because the mean of its divisors is an integer number (2247392).

Almost surely, 2^105419220 is an apocalyptic number.

105419220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105419220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161812224).

105419220 is an abundant number, since it is smaller than the sum of its proper divisors (218205228).

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

105419220 is a wasteful number, since it uses less digits than its factorization.

105419220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 105419220 is about 10267.3862301951. The cubic root of 105419220 is about 472.3964219644.

The spelling of 105419220 in words is "one hundred five million, four hundred nineteen thousand, two hundred twenty".