105365020 has 24 divisors (see below), whose sum is σ = 221482800. Its totient is φ = 42104832.

The previous prime is 105365017. The next prime is 105365021. The reversal of 105365020 is 20563501.

It is a happy number.

It is a super-2 number, since 2×105365020² = 22203574879200800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105364982 and 105365000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105365021) 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, 26311 + ... + 30049.

It is an arithmetic number, because the mean of its divisors is an integer number (9228450).

Almost surely, 2^105365020 is an apocalyptic number.

105365020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105365020 is an abundant number, since it is smaller than the sum of its proper divisors (116117780).

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

105365020 is a wasteful number, since it uses less digits than its factorization.

105365020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5157 (or 5155 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 105365020 is about 10264.7464654515. The cubic root of 105365020 is about 472.3154491421.

The spelling of 105365020 in words is "one hundred five million, three hundred sixty-five thousand, twenty".