105447040 has 128 divisors (see below), whose sum is σ = 266746320. Its totient is φ = 39813120.

The previous prime is 105447037. The next prime is 105447049. The reversal of 105447040 is 40744501.

It can be written as a sum of positive squares in 8 ways, for example, as 41062464 + 64384576 = 6408^2 + 8024^2 .

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

It is a super-2 number, since 2×105447040² = 22238156489523200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105446996 and 105447014.

It is not an unprimeable number, because it can be changed into a prime (105447049) 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, 1444444 + ... + 1444516.

Almost surely, 2^105447040 is an apocalyptic number.

105447040 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 105447040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133373160).

105447040 is an abundant number, since it is smaller than the sum of its proper divisors (161299280).

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

105447040 is an equidigital number, since it uses as much as digits as its factorization.

105447040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 25.

The square root of 105447040 is about 10268.7409160033. The cubic root of 105447040 is about 472.4379732507.

The spelling of 105447040 in words is "one hundred five million, four hundred forty-seven thousand, forty".