10105050105 has 20 divisors (see below), whose sum is σ = 18114238692. Its totient is φ = 5389359840.

The previous prime is 10105050073. The next prime is 10105050127. The reversal of 10105050105 is 50105050101.

It can be written as a sum of positive squares in 2 ways, for example, as 2330572176 + 7774477929 = 48276^2 + 88173^2 .

It is not a de Polignac number, because 10105050105 - 2⁵ = 10105050073 is a prime.

It is a super-2 number, since 2×10105050105² (a number of 21 digits) contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12474966 + ... + 12475775.

Almost surely, 2^10105050105 is an apocalyptic number.

10105050105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10105050105 is a deficient number, since it is larger than the sum of its proper divisors (8009188587).

10105050105 is an equidigital number, since it uses as much as digits as its factorization.

10105050105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24950758 (or 24950749 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 18.

The spelling of 10105050105 in words is "ten billion, one hundred five million, fifty thousand, one hundred five".