10100605011105 has 96 divisors (see below), whose sum is σ = 19131830536320. Its totient is φ = 4536453841920.

The previous prime is 10100605011073. The next prime is 10100605011143. The reversal of 10100605011105 is 50111050600101.

It is a happy number.

It is not a de Polignac number, because 10100605011105 - 2⁵ = 10100605011073 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 9778410 + ... + 10761900.

It is an arithmetic number, because the mean of its divisors is an integer number (199289901420).

Almost surely, 2^{10100605011105} is an apocalyptic number.

10100605011105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10100605011105 is a deficient number, since it is larger than the sum of its proper divisors (9031225525215).

10100605011105 is a wasteful number, since it uses less digits than its factorization.

10100605011105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983759 (or 983752 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 21.

Adding to 10100605011105 its reverse (50111050600101), we get a palindrome (60211655611206).

The spelling of 10100605011105 in words is "ten trillion, one hundred billion, six hundred five million, eleven thousand, one hundred five".