105253220 has 12 divisors (see below), whose sum is σ = 221031804. Its totient is φ = 42101280.

The previous prime is 105253199. The next prime is 105253231. The reversal of 105253220 is 22352501.

It can be written as a sum of positive squares in 2 ways, for example, as 83649316 + 21603904 = 9146^2 + 4648^2 .

It is a super-2 number, since 2×105253220² = 22156480640736800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 5262661 = 105253220 / (1 + 0 + 5 + 2 + 5 + 3 + 2 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 105253192 and 105253201.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2631311 + ... + 2631350.

It is an arithmetic number, because the mean of its divisors is an integer number (18419317).

Almost surely, 2^105253220 is an apocalyptic number.

105253220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105253220 is an abundant number, since it is smaller than the sum of its proper divisors (115778584).

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

105253220 is a wasteful number, since it uses less digits than its factorization.

105253220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5262670 (or 5262668 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 105253220 is about 10259.2991963389. The cubic root of 105253220 is about 472.1483362653.

The spelling of 105253220 in words is "one hundred five million, two hundred fifty-three thousand, two hundred twenty".