105384960 has 132 divisors (see below), whose sum is σ = 365315808. Its totient is φ = 28090368.

The previous prime is 105384947. The next prime is 105385013. The reversal of 105384960 is 69483501.

It is a super-2 number, since 2×105384960² = 22211979588403200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44937 + ... + 47223.

It is an arithmetic number, because the mean of its divisors is an integer number (2767544).

Almost surely, 2^105384960 is an apocalyptic number.

105384960 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 105384960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182657904).

105384960 is an abundant number, since it is smaller than the sum of its proper divisors (259930848).

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

105384960 is a wasteful number, since it uses less digits than its factorization.

105384960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2318 (or 2297 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 105384960 is about 10265.7177050609. The cubic root of 105384960 is about 472.3452420026.

The spelling of 105384960 in words is "one hundred five million, three hundred eighty-four thousand, nine hundred sixty".