100610109 has 12 divisors (see below), whose sum is σ = 145735200. Its totient is φ = 66884424.

The previous prime is 100610093. The next prime is 100610113. The reversal of 100610109 is 901016001.

It is not a de Polignac number, because 100610109 - 2⁴ = 100610093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100610091 and 100610100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100610129) 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 11 ways as a sum of consecutive naturals, for example, 12339 + ... + 18800.

It is an arithmetic number, because the mean of its divisors is an integer number (12144600).

Almost surely, 2^100610109 is an apocalyptic number.

It is an amenable number.

100610109 is a deficient number, since it is larger than the sum of its proper divisors (45125091).

100610109 is a wasteful number, since it uses less digits than its factorization.

100610109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31504 (or 31501 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The square root of 100610109 is about 10030.4590622763. The cubic root of 100610109 is about 465.1009284907.

The spelling of 100610109 in words is "one hundred million, six hundred ten thousand, one hundred nine".