5385105 has 72 divisors (see below), whose sum is σ = 10954944. Its totient is φ = 2439360.

The previous prime is 5385089. The next prime is 5385131. The reversal of 5385105 is 5015835.

It is not a de Polignac number, because 5385105 - 2⁴ = 5385089 is a prime.

It is a super-2 number, since 2×5385105² = 57998711722050, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 125214 + ... + 125256.

It is an arithmetic number, because the mean of its divisors is an integer number (152152).

Almost surely, 2^5385105 is an apocalyptic number.

5385105 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5385105 is an abundant number, since it is smaller than the sum of its proper divisors (5569839).

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

5385105 is a wasteful number, since it uses less digits than its factorization.

5385105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 5385105 is about 2320.5829009109. The cubic root of 5385105 is about 175.2796074392.

It can be divided in two parts, 53 and 85105, that added together give a palindrome (85158).

The spelling of 5385105 in words is "five million, three hundred eighty-five thousand, one hundred five".