105534720 has 108 divisors (see below), whose sum is σ = 365178996. Its totient is φ = 28139520.

The previous prime is 105534703. The next prime is 105534731. The reversal of 105534720 is 27435501.

It is a happy number.

105534720 is a `hidden beast` number, since 105 + 534 + 7 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 36578304 + 68956416 = 6048^2 + 8304^2 .

It is a super-2 number, since 2×105534720² = 22275154250956800, which contains 22 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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6940 + ... + 16100.

It is an arithmetic number, because the mean of its divisors is an integer number (3381287).

Almost surely, 2^105534720 is an apocalyptic number.

105534720 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 105534720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182589498).

105534720 is an abundant number, since it is smaller than the sum of its proper divisors (259644276).

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

105534720 is an equidigital number, since it uses as much as digits as its factorization.

105534720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9188 (or 9171 counting only the distinct ones).

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

The square root of 105534720 is about 10273.0092962092. The cubic root of 105534720 is about 472.5688822060.

The spelling of 105534720 in words is "one hundred five million, five hundred thirty-four thousand, seven hundred twenty".