10107117667 has 8 divisors (see below), whose sum is σ = 10127789712. Its totient is φ = 10086463200.

The previous prime is 10107117653. The next prime is 10107117689. The reversal of 10107117667 is 76671170101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10107117667 - 2¹⁹ = 10106593379 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10107117607) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1951992 + ... + 1957162.

It is an arithmetic number, because the mean of its divisors is an integer number (1265973714).

Almost surely, 2^10107117667 is an apocalyptic number.

10107117667 is a deficient number, since it is larger than the sum of its proper divisors (20672045).

10107117667 is an equidigital number, since it uses as much as digits as its factorization.

10107117667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8789.

The product of its (nonzero) digits is 12348, while the sum is 37.

Adding to 10107117667 its reverse (76671170101), we get a palindrome (86778287768).

The spelling of 10107117667 in words is "ten billion, one hundred seven million, one hundred seventeen thousand, six hundred sixty-seven".