105820720 has 40 divisors (see below), whose sum is σ = 247238640. Its totient is φ = 42120960.

The previous prime is 105820691. The next prime is 105820783. The reversal of 105820720 is 27028501.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×105820720² = 22396049562636800, 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, 13746 + ... + 20014.

It is an arithmetic number, because the mean of its divisors is an integer number (6180966).

Almost surely, 2^105820720 is an apocalyptic number.

105820720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105820720 is an abundant number, since it is smaller than the sum of its proper divisors (141417920).

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

105820720 is a wasteful number, since it uses less digits than its factorization.

105820720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6493 (or 6487 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 105820720 is about 10286.9198499843. The cubic root of 105820720 is about 472.9953857417.

The spelling of 105820720 in words is "one hundred five million, eight hundred twenty thousand, seven hundred twenty".