100165107 has 8 divisors (see below), whose sum is σ = 152632576. Its totient is φ = 57237192.

The previous prime is 100165099. The next prime is 100165129. The reversal of 100165107 is 701561001.

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

It is not a de Polignac number, because 100165107 - 2³ = 100165099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 4769767 = 100165107 / (1 + 0 + 0 + 1 + 6 + 5 + 1 + 0 + 7).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100165187) 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, 2384863 + ... + 2384904.

It is an arithmetic number, because the mean of its divisors is an integer number (19079072).

Almost surely, 2^100165107 is an apocalyptic number.

100165107 is a deficient number, since it is larger than the sum of its proper divisors (52467469).

100165107 is an equidigital number, since it uses as much as digits as its factorization.

100165107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4769777.

The product of its (nonzero) digits is 210, while the sum is 21.

The square root of 100165107 is about 10008.2519452700. The cubic root of 100165107 is about 464.4141958357.

The spelling of 100165107 in words is "one hundred million, one hundred sixty-five thousand, one hundred seven".