105010560501011 has 8 divisors (see below), whose sum is σ = 114562093852848. Its totient is φ = 95459880276000.

The previous prime is 105010560500999. The next prime is 105010560501127. The reversal of 105010560501011 is 110105065010501.

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 105010560501011 - 2³⁰ = 105009486759187 is a prime.

It is a super-2 number, since 2×105010560501011² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105010560501911) 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, 213024320 + ... + 213516701.

It is an arithmetic number, because the mean of its divisors is an integer number (14320261731606).

Almost surely, 2^{105010560501011} is an apocalyptic number.

105010560501011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105010560501011 is a deficient number, since it is larger than the sum of its proper divisors (9551533351837).

105010560501011 is a wasteful number, since it uses less digits than its factorization.

105010560501011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426563413.

The product of its (nonzero) digits is 750, while the sum is 26.

The spelling of 105010560501011 in words is "one hundred five trillion, ten billion, five hundred sixty million, five hundred one thousand, eleven".