105183120 has 160 divisors (see below), whose sum is σ = 376190208. Its totient is φ = 23814144.

The previous prime is 105183109. The next prime is 105183139. The reversal of 105183120 is 21381501.

It is a super-2 number, since 2×105183120² = 22126977465868800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 31 ways as a sum of consecutive naturals, for example, 229932 + ... + 230388.

Almost surely, 2^105183120 is an apocalyptic number.

105183120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105183120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188095104).

105183120 is an abundant number, since it is smaller than the sum of its proper divisors (271007088).

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

105183120 is a wasteful number, since it uses less digits than its factorization.

105183120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 105183120 is about 10255.8822146123. The cubic root of 105183120 is about 472.0434940289.

The spelling of 105183120 in words is "one hundred five million, one hundred eighty-three thousand, one hundred twenty".