105525540 has 72 divisors (see below), whose sum is σ = 323144640. Its totient is φ = 27872064.

The previous prime is 105525533. The next prime is 105525551. The reversal of 105525540 is 45525501.

105525540 is a `hidden beast` number, since 105 + 5 + 2 + 554 + 0 = 666.

It is a super-2 number, since 2×105525540² = 22271279184583200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16521 + ... + 21999.

It is an arithmetic number, because the mean of its divisors is an integer number (4488120).

Almost surely, 2^105525540 is an apocalyptic number.

105525540 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 105525540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161572320).

105525540 is an abundant number, since it is smaller than the sum of its proper divisors (217619100).

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

105525540 is a wasteful number, since it uses less digits than its factorization.

105525540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5601 (or 5596 counting only the distinct ones).

The product of its (nonzero) digits is 5000, while the sum is 27.

The square root of 105525540 is about 10272.5624845994. The cubic root of 105525540 is about 472.5551795808. Note that the first 3 decimals are identical.

The spelling of 105525540 in words is "one hundred five million, five hundred twenty-five thousand, five hundred forty".