105000055050011 has 32 divisors (see below), whose sum is σ = 116114547064320. Its totient is φ = 94150897235200.

The previous prime is 105000055049987. The next prime is 105000055050013. The reversal of 105000055050011 is 110050550000501.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 105000055050011 - 2⁶ = 105000055049947 is a prime.

It is a super-2 number, since 2×105000055050011² (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 (105000055050013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2371306370 + ... + 2371350648.

It is an arithmetic number, because the mean of its divisors is an integer number (3628579595760).

Almost surely, 2^{105000055050011} is an apocalyptic number.

105000055050011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105000055050011 is a deficient number, since it is larger than the sum of its proper divisors (11114492014309).

105000055050011 is a wasteful number, since it uses less digits than its factorization.

105000055050011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48547.

The product of its (nonzero) digits is 625, while the sum is 23.

The spelling of 105000055050011 in words is "one hundred five trillion, fifty-five million, fifty thousand, eleven".