100387105 has 64 divisors (see below), whose sum is σ = 156280320. Its totient is φ = 60217344.

The previous prime is 100387093. The next prime is 100387121. The reversal of 100387105 is 501783001.

It is a cyclic number.

It is not a de Polignac number, because 100387105 - 2⁵ = 100387073 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100387105.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1127901 + ... + 1127989.

It is an arithmetic number, because the mean of its divisors is an integer number (2441880).

Almost surely, 2^100387105 is an apocalyptic number.

100387105 is the 5785-th octagonal number.

It is an amenable number.

100387105 is a deficient number, since it is larger than the sum of its proper divisors (55893215).

100387105 is a wasteful number, since it uses less digits than its factorization.

100387105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218.

The product of its (nonzero) digits is 840, while the sum is 25.

The square root of 100387105 is about 10019.3365548823. The cubic root of 100387105 is about 464.7570396082.

The spelling of 100387105 in words is "one hundred million, three hundred eighty-seven thousand, one hundred five".