105264634265513 has 8 divisors (see below), whose sum is σ = 109532690494848. Its totient is φ = 101081094001264.

The previous prime is 105264634265507. The next prime is 105264634265521. The reversal of 105264634265513 is 315562436462501.

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 105264634265513 - 2⁶ = 105264634265449 is a prime.

It is a super-2 number, since 2×105264634265513² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105264634261513) 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, 21128988731 + ... + 21128993712.

It is an arithmetic number, because the mean of its divisors is an integer number (13691586311856).

Almost surely, 2^{105264634265513} is an apocalyptic number.

It is an amenable number.

105264634265513 is a deficient number, since it is larger than the sum of its proper divisors (4268056229335).

105264634265513 is an equidigital number, since it uses as much as digits as its factorization.

105264634265513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42257982543.

The product of its (nonzero) digits is 15552000, while the sum is 53.

The spelling of 105264634265513 in words is "one hundred five trillion, two hundred sixty-four billion, six hundred thirty-four million, two hundred sixty-five thousand, five hundred thirteen".