10001100105 has 16 divisors (see below), whose sum is σ = 17779733760. Its totient is φ = 5333919984.

The previous prime is 10001100103. The next prime is 10001100113. The reversal of 10001100105 is 50100110001.

It is not a de Polignac number, because 10001100105 - 2¹ = 10001100103 is a prime.

It is a super-2 number, since 2×10001100105² (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 not an unprimeable number, because it can be changed into a prime (10001100103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37040977 + ... + 37041246.

It is an arithmetic number, because the mean of its divisors is an integer number (1111233360).

Almost surely, 2^10001100105 is an apocalyptic number.

10001100105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10001100105 is a deficient number, since it is larger than the sum of its proper divisors (7778633655).

10001100105 is an equidigital number, since it uses as much as digits as its factorization.

10001100105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74082237 (or 74082231 counting only the distinct ones).

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

Adding to 10001100105 its reverse (50100110001), we get a palindrome (60101210106).

The spelling of 10001100105 in words is "ten billion, one million, one hundred thousand, one hundred five".