105105920 has 40 divisors (see below), whose sum is σ = 252014004. Its totient is φ = 42041344.

The previous prime is 105105901. The next prime is 105105983. The reversal of 105105920 is 29501501.

It can be written as a sum of positive squares in 2 ways, for example, as 95570176 + 9535744 = 9776^2 + 3088^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×105105920² = 22094508838092800, which contains 22 as substring.

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, 17969 + ... + 23088.

Almost surely, 2^105105920 is an apocalyptic number.

105105920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105105920 is an abundant number, since it is smaller than the sum of its proper divisors (146908084).

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

105105920 is an frugal number, since it uses more digits than its factorization.

105105920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41080 (or 41064 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 23.

The square root of 105105920 is about 10252.1178299901. The cubic root of 105105920 is about 471.9279790523.

The spelling of 105105920 in words is "one hundred five million, one hundred five thousand, nine hundred twenty".