105214080 has 64 divisors (see below), whose sum is σ = 335376000. Its totient is φ = 28056576.

The previous prime is 105214073. The next prime is 105214111. The reversal of 105214080 is 80412501.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×105214080² = 22140005260492800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25480 + ... + 29319.

It is an arithmetic number, because the mean of its divisors is an integer number (5240250).

Almost surely, 2^105214080 is an apocalyptic number.

105214080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105214080 is an abundant number, since it is smaller than the sum of its proper divisors (230161920).

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

105214080 is an equidigital number, since it uses as much as digits as its factorization.

105214080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54821 (or 54809 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 105214080 is about 10257.3914812685. The cubic root of 105214080 is about 472.0898038453.

Adding to 105214080 its reverse (80412501), we get a palindrome (185626581).

It can be divided in two parts, 105 and 214080, that added together give a triangular number (214185 = T₆₅₄).

The spelling of 105214080 in words is "one hundred five million, two hundred fourteen thousand, eighty".