105430240 has 96 divisors (see below), whose sum is σ = 266112000. Its totient is φ = 39356928.

The previous prime is 105430231. The next prime is 105430253. The reversal of 105430240 is 42034501.

It is a super-2 number, since 2×105430240² = 22231071012915200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 239941 + ... + 240379.

It is an arithmetic number, because the mean of its divisors is an integer number (2772000).

Almost surely, 2^105430240 is an apocalyptic number.

105430240 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 105430240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133056000).

105430240 is an abundant number, since it is smaller than the sum of its proper divisors (160681760).

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

105430240 is a wasteful number, since it uses less digits than its factorization.

105430240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 105430240 is about 10267.9228668704. The cubic root of 105430240 is about 472.4128820470.

Adding to 105430240 its reverse (42034501), we get a palindrome (147464741).

The spelling of 105430240 in words is "one hundred five million, four hundred thirty thousand, two hundred forty".