105854080 has 32 divisors (see below), whose sum is σ = 253058940. Its totient is φ = 42341376.

The previous prime is 105854071. The next prime is 105854101. The reversal of 105854080 is 80458501.

It can be written as a sum of positive squares in 2 ways, for example, as 86564416 + 19289664 = 9304^2 + 4392^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×105854080² = 22410172505292800, which contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 82059 + ... + 83338.

Almost surely, 2^105854080 is an apocalyptic number.

105854080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105854080 is an abundant number, since it is smaller than the sum of its proper divisors (147204860).

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

105854080 is an equidigital number, since it uses as much as digits as its factorization.

105854080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165416 (or 165404 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 31.

The square root of 105854080 is about 10288.5411988289. The cubic root of 105854080 is about 473.0450844781.

The spelling of 105854080 in words is "one hundred five million, eight hundred fifty-four thousand, eighty".