100160073 has 48 divisors (see below), whose sum is σ = 169552656. Its totient is φ = 56401920.

The previous prime is 100160069. The next prime is 100160143. The reversal of 100160073 is 370061001.

It can be written as a sum of positive squares in 8 ways, for example, as 9 + 100160064 = 3^2 + 10008^2 .

It is not a de Polignac number, because 100160073 - 2² = 100160069 is a prime.

It is a super-3 number, since 3×100160073³ (a number of 25 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100160003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72913 + ... + 74273.

It is an arithmetic number, because the mean of its divisors is an integer number (3532347).

Almost surely, 2^100160073 is an apocalyptic number.

100160073 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100160073 is a deficient number, since it is larger than the sum of its proper divisors (69392583).

100160073 is a wasteful number, since it uses less digits than its factorization.

100160073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434 (or 1431 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 100160073 is about 10008.0004496403. Note that the first 3 decimals coincide. The cubic root of 100160073 is about 464.4064156805.

The spelling of 100160073 in words is "one hundred million, one hundred sixty thousand, seventy-three".