10100100105 has 24 divisors (see below), whose sum is σ = 17933839560. Its totient is φ = 5255335680.

The previous prime is 10100100079. The next prime is 10100100133. The reversal of 10100100105 is 50100100101.

It can be written as a sum of positive squares in 4 ways, for example, as 844890489 + 9255209616 = 29067^2 + 96204^2 .

It is not a de Polignac number, because 10100100105 - 2⁶ = 10100100041 is a prime.

It is a super-2 number, since 2×10100100105² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2735310 + ... + 2738999.

It is an arithmetic number, because the mean of its divisors is an integer number (747243315).

Almost surely, 2^10100100105 is an apocalyptic number.

10100100105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10100100105 is a deficient number, since it is larger than the sum of its proper divisors (7833739455).

10100100105 is a wasteful number, since it uses less digits than its factorization.

10100100105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5474361 (or 5474358 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 9.

Adding to 10100100105 its reverse (50100100101), we get a palindrome (60200200206).

The spelling of 10100100105 in words is "ten billion, one hundred million, one hundred thousand, one hundred five".