105705080 has 32 divisors (see below), whose sum is σ = 256132800. Its totient is φ = 39029376.

The previous prime is 105705077. The next prime is 105705091. The reversal of 105705080 is 80507501.

It is a super-2 number, since 2×105705080² = 22347127875612800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

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, 101120 + ... + 102159.

It is an arithmetic number, because the mean of its divisors is an integer number (8004150).

Almost surely, 2^105705080 is an apocalyptic number.

105705080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105705080 is an abundant number, since it is smaller than the sum of its proper divisors (150427720).

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

105705080 is a wasteful number, since it uses less digits than its factorization.

105705080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203303 (or 203299 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 26.

The square root of 105705080 is about 10281.2975834765. The cubic root of 105705080 is about 472.8230278055.

The spelling of 105705080 in words is "one hundred five million, seven hundred five thousand, eighty".