105734160 has 420 divisors, whose sum is σ = 440343468. Its totient is φ = 23514624.

The previous prime is 105734159. The next prime is 105734179. The reversal of 105734160 is 61437501.

It can be written as a sum of positive squares in 2 ways, for example, as 69155856 + 36578304 = 8316^2 + 6048^2 .

It is a tau number, because it is divible by the number of its divisors (420).

It is a super-2 number, since 2×105734160² = 22359425181811200, 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 Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 2857662 + ... + 2857698.

Almost surely, 2^105734160 is an apocalyptic number.

105734160 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 105734160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220171734).

105734160 is an abundant number, since it is smaller than the sum of its proper divisors (334609308).

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

105734160 is an equidigital number, since it uses as much as digits as its factorization.

105734160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 105734160 is about 10282.7117046040. The cubic root of 105734160 is about 472.8663824956.

The spelling of 105734160 in words is "one hundred five million, seven hundred thirty-four thousand, one hundred sixty".