987105417 has 16 divisors (see below), whose sum is σ = 1329768000. Its totient is φ = 651271104.

The previous prime is 987105409. The next prime is 987105419. The reversal of 987105417 is 714501789.

It is not a de Polignac number, because 987105417 - 2³ = 987105409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (987105419) 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 15 ways as a sum of consecutive naturals, for example, 476059 + ... + 478127.

It is an arithmetic number, because the mean of its divisors is an integer number (83110500).

Almost surely, 2^987105417 is an apocalyptic number.

It is an amenable number.

987105417 is a deficient number, since it is larger than the sum of its proper divisors (342662583).

987105417 is a wasteful number, since it uses less digits than its factorization.

987105417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3640.

The product of its (nonzero) digits is 70560, while the sum is 42.

The square root of 987105417 is about 31418.2338300548. The cubic root of 987105417 is about 995.6831976988.

The spelling of 987105417 in words is "nine hundred eighty-seven million, one hundred five thousand, four hundred seventeen".