105534520 has 128 divisors (see below), whose sum is σ = 296755200. Its totient is φ = 32887296.

The previous prime is 105534503. The next prime is 105534547. The reversal of 105534520 is 25435501.

It is a super-2 number, since 2×105534520² = 22275069823260800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 287377 + ... + 287743.

It is an arithmetic number, because the mean of its divisors is an integer number (2318400).

Almost surely, 2^105534520 is an apocalyptic number.

105534520 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 105534520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148377600).

105534520 is an abundant number, since it is smaller than the sum of its proper divisors (191220680).

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

105534520 is a wasteful number, since it uses less digits than its factorization.

105534520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The square root of 105534520 is about 10272.9995619585. Note that the first 3 decimals coincide. The cubic root of 105534520 is about 472.5685836823.

The spelling of 105534520 in words is "one hundred five million, five hundred thirty-four thousand, five hundred twenty".