2007164101 has 8 divisors (see below), whose sum is σ = 2031394464. Its totient is φ = 1983035280.

The previous prime is 2007164083. The next prime is 2007164141. The reversal of 2007164101 is 1014617002.

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

It is not a de Polignac number, because 2007164101 - 2¹⁹ = 2006639813 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 (2007164141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14766 + ... + 65056.

It is an arithmetic number, because the mean of its divisors is an integer number (253924308).

Almost surely, 2^2007164101 is an apocalyptic number.

It is an amenable number.

2007164101 is a deficient number, since it is larger than the sum of its proper divisors (24230363).

2007164101 is a wasteful number, since it uses less digits than its factorization.

2007164101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50771.

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 2007164101 is about 44801.3850343937. The cubic root of 2007164101 is about 1261.4236241637.

The spelling of 2007164101 in words is "two billion, seven million, one hundred sixty-four thousand, one hundred one".