105053120 has 28 divisors (see below), whose sum is σ = 250158504. Its totient is φ = 42021120.

The previous prime is 105053089. The next prime is 105053189. The reversal of 105053120 is 21350501.

It is a super-2 number, since 2×105053120² = 22072316043468800, which contains 22 as substring.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 163826 + ... + 164465.

Almost surely, 2^105053120 is an apocalyptic number.

105053120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105053120 is an abundant number, since it is smaller than the sum of its proper divisors (145105384).

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

105053120 is an equidigital number, since it uses as much as digits as its factorization.

105053120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328308 (or 328298 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 105053120 is about 10249.5424288112. The cubic root of 105053120 is about 471.8489414144.

The spelling of 105053120 in words is "one hundred five million, fifty-three thousand, one hundred twenty".