105209320 has 32 divisors (see below), whose sum is σ = 237129120. Its totient is φ = 42011200.

The previous prime is 105209297. The next prime is 105209333. The reversal of 105209320 is 23902501.

It is a super-2 number, since 2×105209320² = 22138002029724800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105209291 and 105209300.

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, 25395 + ... + 29245.

It is an arithmetic number, because the mean of its divisors is an integer number (7410285).

Almost surely, 2^105209320 is an apocalyptic number.

105209320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105209320 is an abundant number, since it is smaller than the sum of its proper divisors (131919800).

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

105209320 is a wasteful number, since it uses less digits than its factorization.

105209320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4545 (or 4541 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 105209320 is about 10257.1594508421. The cubic root of 105209320 is about 472.0826844517.

The spelling of 105209320 in words is "one hundred five million, two hundred nine thousand, three hundred twenty".