105010605051 has 16 divisors (see below), whose sum is σ = 152765948928. Its totient is φ = 63633103200.

The previous prime is 105010604969. The next prime is 105010605059. The reversal of 105010605051 is 150506010501.

It is not a de Polignac number, because 105010605051 - 2¹⁵ = 105010572283 is a prime.

It is a super-2 number, since 2×105010605051² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105010605059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19051 + ... + 458676.

It is an arithmetic number, because the mean of its divisors is an integer number (9547871808).

Almost surely, 2^105010605051 is an apocalyptic number.

105010605051 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105010605051 is a deficient number, since it is larger than the sum of its proper divisors (47755343877).

105010605051 is a wasteful number, since it uses less digits than its factorization.

105010605051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484402.

The product of its (nonzero) digits is 750, while the sum is 24.

Adding to 105010605051 its reverse (150506010501), we get a palindrome (255516615552).

The spelling of 105010605051 in words is "one hundred five billion, ten million, six hundred five thousand, fifty-one".