100106766671 has 8 divisors (see below), whose sum is σ = 100394455680. Its totient is φ = 99819202392.

The previous prime is 100106766653. The next prime is 100106766689. The reversal of 100106766671 is 176667601001.

It is an interprime number because it is at equal distance from previous prime (100106766653) and next prime (100106766689).

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 100106766671 - 2¹⁸ = 100106504527 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100106766631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1715846 + ... + 1773228.

It is an arithmetic number, because the mean of its divisors is an integer number (12549306960).

Almost surely, 2^100106766671 is an apocalyptic number.

100106766671 is a deficient number, since it is larger than the sum of its proper divisors (287689009).

100106766671 is an equidigital number, since it uses as much as digits as its factorization.

100106766671 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62365.

The product of its (nonzero) digits is 63504, while the sum is 41.

The spelling of 100106766671 in words is "one hundred billion, one hundred six million, seven hundred sixty-six thousand, six hundred seventy-one".