105211620 has 36 divisors (see below), whose sum is σ = 319142460. Its totient is φ = 28056384.

The previous prime is 105211619. The next prime is 105211643. The reversal of 105211620 is 26112501.

It can be written as a sum of positive squares in 2 ways, for example, as 19501056 + 85710564 = 4416^2 + 9258^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×105211620² = 22138969966048800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 105211593 and 105211602.

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 11 ways as a sum of consecutive naturals, for example, 292075 + ... + 292434.

Almost surely, 2^105211620 is an apocalyptic number.

105211620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105211620 is an abundant number, since it is smaller than the sum of its proper divisors (213930840).

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

105211620 is a wasteful number, since it uses less digits than its factorization.

105211620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584524 (or 584519 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 105211620 is about 10257.2715670396. The cubic root of 105211620 is about 472.0861245216.

The spelling of 105211620 in words is "one hundred five million, two hundred eleven thousand, six hundred twenty".