105215620 has 24 divisors (see below), whose sum is σ = 221185944. Its totient is φ = 42041856.

The previous prime is 105215573. The next prime is 105215651. The reversal of 105215620 is 26512501.

It can be written as a sum of positive squares in 4 ways, for example, as 9684544 + 95531076 = 3112^2 + 9774^2 .

It is a super-2 number, since 2×105215620² = 22140653383968800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105215591 and 105215600.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22092 + ... + 26428.

It is an arithmetic number, because the mean of its divisors is an integer number (9216081).

Almost surely, 2^105215620 is an apocalyptic number.

105215620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105215620 is an abundant number, since it is smaller than the sum of its proper divisors (115970324).

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

105215620 is a wasteful number, since it uses less digits than its factorization.

105215620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5559 (or 5557 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 105215620 is about 10257.4665488121. The cubic root of 105215620 is about 472.0921071326.

The spelling of 105215620 in words is "one hundred five million, two hundred fifteen thousand, six hundred twenty".