105254545405013 has 8 divisors (see below), whose sum is σ = 105449757947160. Its totient is φ = 105059335288320.

The previous prime is 105254545404923. The next prime is 105254545405019. The reversal of 105254545405013 is 310504545452501.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4337693440369 + 100916851964644 = 2082713^2 + 10045738^2 .

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 105254545405013 - 2¹⁸ = 105254545142869 is a prime.

It is a super-2 number, since 2×105254545405013² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105254545405019) 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, 102500381 + ... + 103522157.

It is an arithmetic number, because the mean of its divisors is an integer number (13181219743395).

Almost surely, 2^{105254545405013} is an apocalyptic number.

It is an amenable number.

105254545405013 is a deficient number, since it is larger than the sum of its proper divisors (195212542147).

105254545405013 is a wasteful number, since it uses less digits than its factorization.

105254545405013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1212727.

The product of its (nonzero) digits is 1200000, while the sum is 44.

The spelling of 105254545405013 in words is "one hundred five trillion, two hundred fifty-four billion, five hundred forty-five million, four hundred five thousand, thirteen".