100760000993 has 16 divisors (see below), whose sum is σ = 107936817600. Its totient is φ = 93772831680.

The previous prime is 100760000963. The next prime is 100760001019. The reversal of 100760000993 is 399000067001.

It is a cyclic number.

It is not a de Polignac number, because 100760000993 - 2¹⁴ = 100759984609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100760000903) 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, 1597883 + ... + 1659743.

It is an arithmetic number, because the mean of its divisors is an integer number (6746051100).

Almost surely, 2^100760000993 is an apocalyptic number.

It is an amenable number.

100760000993 is a deficient number, since it is larger than the sum of its proper divisors (7176816607).

100760000993 is a wasteful number, since it uses less digits than its factorization.

100760000993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63392.

The product of its (nonzero) digits is 10206, while the sum is 35.

Adding to 100760000993 its reverse (399000067001), we get a palindrome (499760067994).

The spelling of 100760000993 in words is "one hundred billion, seven hundred sixty million, nine hundred ninety-three", and thus it is an aban number.