105153314412 has 12 divisors (see below), whose sum is σ = 245357733656. Its totient is φ = 35051104800.

The previous prime is 105153314407. The next prime is 105153314419. The reversal of 105153314412 is 214413351501.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×105153314412² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105153314412.

It is not an unprimeable number, because it can be changed into a prime (105153314419) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 4381388089 + ... + 4381388112.

Almost surely, 2^105153314412 is an apocalyptic number.

105153314412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105153314412 is an abundant number, since it is smaller than the sum of its proper divisors (140204419244).

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

105153314412 is a wasteful number, since it uses less digits than its factorization.

105153314412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8762776208 (or 8762776206 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 105153314412 its reverse (214413351501), we get a palindrome (319566665913).

The spelling of 105153314412 in words is "one hundred five billion, one hundred fifty-three million, three hundred fourteen thousand, four hundred twelve".