105112144513 has 8 divisors (see below), whose sum is σ = 105786148608. Its totient is φ = 104438671584.

The previous prime is 105112144507. The next prime is 105112144541. The reversal of 105112144513 is 315441211501.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105112144513 - 2⁹ = 105112144001 is a prime.

It is a super-2 number, since 2×105112144513² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105112145513) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 268120 + ... + 531142.

It is an arithmetic number, because the mean of its divisors is an integer number (13223268576).

Almost surely, 2^105112144513 is an apocalyptic number.

It is an amenable number.

105112144513 is a deficient number, since it is larger than the sum of its proper divisors (674004095).

105112144513 is a wasteful number, since it uses less digits than its factorization.

105112144513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265583.

The product of its (nonzero) digits is 2400, while the sum is 28.

It can be divided in two parts, 10511 and 2144513, that added together give a square (2155024 = 1468²).

The spelling of 105112144513 in words is "one hundred five billion, one hundred twelve million, one hundred forty-four thousand, five hundred thirteen".