6105645 has 96 divisors (see below), whose sum is σ = 13789440. Its totient is φ = 2540160.

The previous prime is 6105641. The next prime is 6105661. The reversal of 6105645 is 5465016.

It is a happy number.

6105645 is a `hidden beast` number, since 6 + 10 + 5 + 645 = 666.

It is not a de Polignac number, because 6105645 - 2² = 6105641 is a prime.

It is a super-3 number, since 3×6105645³ (a number of 21 digits) contains 333 as substring.

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

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

6105645 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6105641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 85960 + ... + 86030.

It is an arithmetic number, because the mean of its divisors is an integer number (143640).

Almost surely, 2^6105645 is an apocalyptic number.

6105645 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

6105645 is an abundant number, since it is smaller than the sum of its proper divisors (7683795).

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

6105645 is a wasteful number, since it uses less digits than its factorization.

6105645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 99 counting only the distinct ones).

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

The square root of 6105645 is about 2470.9603396251. The cubic root of 6105645 is about 182.7723587079.

The spelling of 6105645 in words is "six million, one hundred five thousand, six hundred forty-five".