105325440 has 128 divisors (see below), whose sum is σ = 366318720. Its totient is φ = 25528320.

The previous prime is 105325411. The next prime is 105325453. The reversal of 105325440 is 44523501.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×105325440² = 22186896622387200, 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 105325440.

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, 18627 + ... + 23613.

It is an arithmetic number, because the mean of its divisors is an integer number (2861865).

Almost surely, 2^105325440 is an apocalyptic number.

105325440 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 105325440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183159360).

105325440 is an abundant number, since it is smaller than the sum of its proper divisors (260993280).

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

105325440 is a wasteful number, since it uses less digits than its factorization.

105325440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5020 (or 5008 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 105325440 is about 10262.8183263663. The cubic root of 105325440 is about 472.2563005216.

Adding to 105325440 its reverse (44523501), we get a palindrome (149848941).

The spelling of 105325440 in words is "one hundred five million, three hundred twenty-five thousand, four hundred forty".