105508720 has 20 divisors (see below), whose sum is σ = 245307960. Its totient is φ = 42203456.

The previous prime is 105508709. The next prime is 105508727. The reversal of 105508720 is 27805501.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×105508720² = 22264179992076800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105508727) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 659350 + ... + 659509.

It is an arithmetic number, because the mean of its divisors is an integer number (12265398).

Almost surely, 2^105508720 is an apocalyptic number.

105508720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105508720 is an abundant number, since it is smaller than the sum of its proper divisors (139799240).

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

105508720 is a wasteful number, since it uses less digits than its factorization.

105508720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318872 (or 1318866 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 28.

The square root of 105508720 is about 10271.7437662745. The cubic root of 105508720 is about 472.5300709658.

The spelling of 105508720 in words is "one hundred five million, five hundred eight thousand, seven hundred twenty".