105640605 has 48 divisors (see below), whose sum is σ = 217037184. Its totient is φ = 48288960.

The previous prime is 105640603. The next prime is 105640651. The reversal of 105640605 is 506046501.

It is a happy number.

105640605 is a `hidden beast` number, since 1 + 0 + 56 + 4 + 0 + 605 = 666.

It is not a de Polignac number, because 105640605 - 2¹ = 105640603 is a prime.

It is a super-3 number, since 3×105640605³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105640603) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2295 + ... + 14715.

It is an arithmetic number, because the mean of its divisors is an integer number (4521608).

Almost surely, 2^105640605 is an apocalyptic number.

105640605 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105640605 is an abundant number, since it is smaller than the sum of its proper divisors (111396579).

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

105640605 is an equidigital number, since it uses as much as digits as its factorization.

105640605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12448 (or 12436 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 105640605 is about 10278.1615573993. The cubic root of 105640605 is about 472.7268751734.

The spelling of 105640605 in words is "one hundred five million, six hundred forty thousand, six hundred five".