105540320 has 48 divisors (see below), whose sum is σ = 250069680. Its totient is φ = 42092544.

The previous prime is 105540311. The next prime is 105540329. The reversal of 105540320 is 23045501.

It is an interprime number because it is at equal distance from previous prime (105540311) and next prime (105540329).

It is a super-2 number, since 2×105540320² = 22277518291404800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 105540292 and 105540301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105540329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70136 + ... + 71624.

It is an arithmetic number, because the mean of its divisors is an integer number (5209785).

Almost surely, 2^105540320 is an apocalyptic number.

105540320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105540320 is an abundant number, since it is smaller than the sum of its proper divisors (144529360).

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

105540320 is a wasteful number, since it uses less digits than its factorization.

105540320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1947 (or 1939 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 105540320 is about 10273.2818514825. The cubic root of 105540320 is about 472.5772407156.

Adding to 105540320 its reverse (23045501), we get a palindrome (128585821).

The spelling of 105540320 in words is "one hundred five million, five hundred forty thousand, three hundred twenty".