5187105 has 64 divisors (see below), whose sum is σ = 11520000. Its totient is φ = 2151360.

The previous prime is 5187089. The next prime is 5187109. The reversal of 5187105 is 5017815.

It is not a de Polignac number, because 5187105 - 2⁴ = 5187089 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

5187105 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (5187109) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10146 + ... + 10644.

It is an arithmetic number, because the mean of its divisors is an integer number (180000).

Almost surely, 2^5187105 is an apocalyptic number.

5187105 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5187105 is an abundant number, since it is smaller than the sum of its proper divisors (6332895).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5187105 is a wasteful number, since it uses less digits than its factorization.

5187105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 27.

The square root of 5187105 is about 2277.5216793699. The cubic root of 5187105 is about 173.1044954364.

The spelling of 5187105 in words is "five million, one hundred eighty-seven thousand, one hundred five".