105327540 has 120 divisors (see below), whose sum is σ = 335005440. Its totient is φ = 27698112.

The previous prime is 105327533. The next prime is 105327559. The reversal of 105327540 is 45723501.

It is a happy number.

It is a super-2 number, since 2×105327540² = 22187781364903200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 127569 + ... + 128391.

It is an arithmetic number, because the mean of its divisors is an integer number (2791712).

Almost surely, 2^105327540 is an apocalyptic number.

105327540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105327540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167502720).

105327540 is an abundant number, since it is smaller than the sum of its proper divisors (229677900).

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

105327540 is a wasteful number, since it uses less digits than its factorization.

105327540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 105327540 is about 10262.9206369337. The cubic root of 105327540 is about 472.2594391480.

It can be divided in two parts, 105 and 327540, that added together give a triangular number (327645 = T₈₀₉).

The spelling of 105327540 in words is "one hundred five million, three hundred twenty-seven thousand, five hundred forty".