105120220 has 24 divisors (see below), whose sum is σ = 220946544. Its totient is φ = 42011136.

The previous prime is 105120203. The next prime is 105120221. The reversal of 105120220 is 22021501.

It is a super-2 number, since 2×105120220² = 22100521305696800, 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 105120220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105120221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39244 + ... + 41836.

It is an arithmetic number, because the mean of its divisors is an integer number (9206106).

Almost surely, 2^105120220 is an apocalyptic number.

105120220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105120220 is an abundant number, since it is smaller than the sum of its proper divisors (115826324).

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

105120220 is a wasteful number, since it uses less digits than its factorization.

105120220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4629 (or 4627 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 105120220 is about 10252.8152231473. The cubic root of 105120220 is about 471.9493805238.

Adding to 105120220 its reverse (22021501), we get a palindrome (127141721).

The spelling of 105120220 in words is "one hundred five million, one hundred twenty thousand, two hundred twenty".