105150043440 has 120 divisors (see below), whose sum is σ = 380292690960. Its totient is φ = 25883085312.

The previous prime is 105150043423. The next prime is 105150043513. The reversal of 105150043440 is 44340051501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×105150043440² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5607630 + ... + 5626349.

It is an arithmetic number, because the mean of its divisors is an integer number (3169105758).

Almost surely, 2^105150043440 is an apocalyptic number.

105150043440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105150043440 is an abundant number, since it is smaller than the sum of its proper divisors (275142647520).

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

105150043440 is a wasteful number, since it uses less digits than its factorization.

105150043440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11234011 (or 11234002 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 105150043440 its reverse (44340051501), we get a palindrome (149490094941).

The spelling of 105150043440 in words is "one hundred five billion, one hundred fifty million, forty-three thousand, four hundred forty".