105012314150320 has 40 divisors (see below), whose sum is σ = 244239088974624. Its totient is φ = 41990223109632.

The previous prime is 105012314150311. The next prime is 105012314150329. The reversal of 105012314150320 is 23051413210501.

It is an interprime number because it is at equal distance from previous prime (105012314150311) and next prime (105012314150329).

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×105012314150320² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105012314150329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 229497364 + ... + 229954483.

Almost surely, 2^{105012314150320} is an apocalyptic number.

105012314150320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105012314150320 is an abundant number, since it is smaller than the sum of its proper divisors (139226774824304).

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

105012314150320 is a wasteful number, since it uses less digits than its factorization.

105012314150320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459454717 (or 459454711 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

Adding to 105012314150320 its reverse (23051413210501), we get a palindrome (128063727360821).

The spelling of 105012314150320 in words is "one hundred five trillion, twelve billion, three hundred fourteen million, one hundred fifty thousand, three hundred twenty".