105934080 has 216 divisors, whose sum is σ = 394263072. Its totient is φ = 24170496.

The previous prime is 105934061. The next prime is 105934093. The reversal of 105934080 is 80439501.

It is a super-2 number, since 2×105934080² = 22444058610892800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 187879 + ... + 188441.

It is an arithmetic number, because the mean of its divisors is an integer number (1825292).

Almost surely, 2^105934080 is an apocalyptic number.

105934080 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 105934080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197131536).

105934080 is an abundant number, since it is smaller than the sum of its proper divisors (288328992).

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

105934080 is an equidigital number, since it uses as much as digits as its factorization.

105934080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 105934080 is about 10292.4282849093. The cubic root of 105934080 is about 473.1642235711.

The spelling of 105934080 in words is "one hundred five million, nine hundred thirty-four thousand, eighty".