105114440 has 32 divisors (see below), whose sum is σ = 237411000. Its totient is φ = 41885184.

The previous prime is 105114433. The next prime is 105114461. The reversal of 105114440 is 44411501.

It can be written as a sum of positive squares in 4 ways, for example, as 50324836 + 54789604 = 7094^2 + 7402^2 .

It is a super-2 number, since 2×105114440² = 22098090993027200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5876 + ... + 15644.

Almost surely, 2^105114440 is an apocalyptic number.

105114440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105114440 is an abundant number, since it is smaller than the sum of its proper divisors (132296560).

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

105114440 is a wasteful number, since it uses less digits than its factorization.

105114440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10049 (or 10045 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 105114440 is about 10252.5333454713. The cubic root of 105114440 is about 471.9407303726.

Adding to 105114440 its reverse (44411501), we get a palindrome (149525941).

The spelling of 105114440 in words is "one hundred five million, one hundred fourteen thousand, four hundred forty".