100438768105 has 16 divisors (see below), whose sum is σ = 129820723200. Its totient is φ = 74157064128.

The previous prime is 100438768081. The next prime is 100438768117. The reversal of 100438768105 is 501867834001.

It is a cyclic number.

It is not a de Polignac number, because 100438768105 - 2⁷ = 100438767977 is a prime.

It is a super-2 number, since 2×100438768105² (a number of 23 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 242296 + ... + 509494.

It is an arithmetic number, because the mean of its divisors is an integer number (8113795200).

Almost surely, 2^100438768105 is an apocalyptic number.

It is an amenable number.

100438768105 is a deficient number, since it is larger than the sum of its proper divisors (29381955095).

100438768105 is a wasteful number, since it uses less digits than its factorization.

100438768105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273000.

The product of its (nonzero) digits is 161280, while the sum is 43.

The spelling of 100438768105 in words is "one hundred billion, four hundred thirty-eight million, seven hundred sixty-eight thousand, one hundred five".