105434240 has 64 divisors (see below), whose sum is σ = 253955520. Its totient is φ = 41856000.

The previous prime is 105434213. The next prime is 105434243. The reversal of 105434240 is 42434501.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×105434240² = 22232757928755200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105434243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96095 + ... + 97185.

It is an arithmetic number, because the mean of its divisors is an integer number (3968055).

Almost surely, 2^105434240 is an apocalyptic number.

105434240 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 105434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126977760).

105434240 is an abundant number, since it is smaller than the sum of its proper divisors (148521280).

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

105434240 is a wasteful number, since it uses less digits than its factorization.

105434240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 105434240 is about 10268.1176463849. The cubic root of 105434240 is about 472.4188563848.

Adding to 105434240 its reverse (42434501), we get a palindrome (147868741).

The spelling of 105434240 in words is "one hundred five million, four hundred thirty-four thousand, two hundred forty".