105330840 has 64 divisors (see below), whose sum is σ = 317455200. Its totient is φ = 27958272.

The previous prime is 105330811. The next prime is 105330847. The reversal of 105330840 is 48033501.

It is a super-2 number, since 2×105330840² = 22189171710211200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 105330840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105330847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25564 + ... + 29396.

Almost surely, 2^105330840 is an apocalyptic number.

105330840 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 105330840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158727600).

105330840 is an abundant number, since it is smaller than the sum of its proper divisors (212124360).

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

105330840 is a wasteful number, since it uses less digits than its factorization.

105330840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4076 (or 4072 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 105330840 is about 10263.0814086219. The cubic root of 105330840 is about 472.2643711910.

The spelling of 105330840 in words is "one hundred five million, three hundred thirty thousand, eight hundred forty".