105011105010553 has 64 divisors (see below), whose sum is σ = 123686974494720. Its totient is φ = 87300822915072.

The previous prime is 105011105010551. The next prime is 105011105010557. The reversal of 105011105010553 is 355010501110501.

It is a cyclic number.

It is not a de Polignac number, because 105011105010553 - 2¹ = 105011105010551 is a prime.

It is a super-2 number, since 2×105011105010553² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105011105010551) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35440803450 + ... + 35440806412.

It is an arithmetic number, because the mean of its divisors is an integer number (1932608976480).

Almost surely, 2^{105011105010553} is an apocalyptic number.

It is an amenable number.

105011105010553 is a deficient number, since it is larger than the sum of its proper divisors (18675869484167).

105011105010553 is a wasteful number, since it uses less digits than its factorization.

105011105010553 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5566.

The product of its (nonzero) digits is 1875, while the sum is 28.

The spelling of 105011105010553 in words is "one hundred five trillion, eleven billion, one hundred five million, ten thousand, five hundred fifty-three".