109006872667 has 64 divisors (see below), whose sum is σ = 140179921920. Its totient is φ = 82317312000.

The previous prime is 109006872631. The next prime is 109006872671. The reversal of 109006872667 is 766278600901.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-109006872667 is a prime.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (109006872967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 161971243 + ... + 161971915.

It is an arithmetic number, because the mean of its divisors is an integer number (2190311280).

Almost surely, 2^109006872667 is an apocalyptic number.

109006872667 is a deficient number, since it is larger than the sum of its proper divisors (31173049253).

109006872667 is a wasteful number, since it uses less digits than its factorization.

109006872667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1204.

The product of its (nonzero) digits is 1524096, while the sum is 52.

The spelling of 109006872667 in words is "one hundred nine billion, six million, eight hundred seventy-two thousand, six hundred sixty-seven".