10105004100105 has 64 divisors (see below), whose sum is σ = 18612379584000. Its totient is φ = 5195526448896.

The previous prime is 10105004100071. The next prime is 10105004100109. The reversal of 10105004100105 is 50100140050101.

It is a happy number.

10105004100105 is a `hidden beast` number, since 10 + 10 + 500 + 41 + 0 + 0 + 105 = 666.

It is not a de Polignac number, because 10105004100105 - 2²⁶ = 10104936991241 is a prime.

It is a super-2 number, since 2×10105004100105² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10105004100109) 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, 580156 + ... + 4532834.

It is an arithmetic number, because the mean of its divisors is an integer number (290818431000).

Almost surely, 2^{10105004100105} is an apocalyptic number.

10105004100105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10105004100105 is a deficient number, since it is larger than the sum of its proper divisors (8507375483895).

10105004100105 is a wasteful number, since it uses less digits than its factorization.

10105004100105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3953375 (or 3953369 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

Adding to 10105004100105 its reverse (50100140050101), we get a palindrome (60205144150206).

The spelling of 10105004100105 in words is "ten trillion, one hundred five billion, four million, one hundred thousand, one hundred five".