100100109 has 8 divisors (see below), whose sum is σ = 133529472. Its totient is φ = 66702080.

The previous prime is 100100107. The next prime is 100100111. The reversal of 100100109 is 901001001.

It is an interprime number because it is at equal distance from previous prime (100100107) and next prime (100100111).

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 100100109 - 2¹ = 100100107 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100100094 and 100100103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1069 + ... + 14189.

It is an arithmetic number, because the mean of its divisors is an integer number (16691184).

Almost surely, 2^100100109 is an apocalyptic number.

It is an amenable number.

100100109 is a deficient number, since it is larger than the sum of its proper divisors (33429363).

100100109 is a wasteful number, since it uses less digits than its factorization.

100100109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15667.

The product of its (nonzero) digits is 9, while the sum is 12.

The square root of 100100109 is about 10005.0041979002. The cubic root of 100100109 is about 464.3137199765.

The spelling of 100100109 in words is "one hundred million, one hundred thousand, one hundred nine".