105734080 has 56 divisors (see below), whose sum is σ = 257952240. Its totient is φ = 41256960.

The previous prime is 105734071. The next prime is 105734081. The reversal of 105734080 is 80437501.

It is a super-2 number, since 2×105734080² = 22359391346892800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105734081) 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, 9091 + ... + 17149.

It is an arithmetic number, because the mean of its divisors is an integer number (4606290).

Almost surely, 2^105734080 is an apocalyptic number.

105734080 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 105734080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128976120).

105734080 is an abundant number, since it is smaller than the sum of its proper divisors (152218160).

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

105734080 is an equidigital number, since it uses as much as digits as its factorization.

105734080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8117 (or 8107 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 105734080 is about 10282.7078145788. The cubic root of 105734080 is about 472.8662632364.

The spelling of 105734080 in words is "one hundred five million, seven hundred thirty-four thousand, eighty".