105115440 has 80 divisors (see below), whose sum is σ = 327979008. Its totient is φ = 27848448.

The previous prime is 105115427. The next prime is 105115441. The reversal of 105115440 is 44511501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×105115440² = 22098511452787200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105115441) 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, 37777 + ... + 40463.

Almost surely, 2^105115440 is an apocalyptic number.

105115440 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 105115440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163989504).

105115440 is an abundant number, since it is smaller than the sum of its proper divisors (222863568).

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

105115440 is a wasteful number, since it uses less digits than its factorization.

105115440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2866 (or 2860 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 105115440 is about 10252.5821137897. The cubic root of 105115440 is about 471.9422269612.

Adding to 105115440 its reverse (44511501), we get a palindrome (149626941).

It can be divided in two parts, 10511 and 5440, that added together give a palindrome (15951).

The spelling of 105115440 in words is "one hundred five million, one hundred fifteen thousand, four hundred forty".