105721600 has 54 divisors (see below), whose sum is σ = 261693320. Its totient is φ = 42286080.

The previous prime is 105721597. The next prime is 105721613. The reversal of 105721600 is 6127501.

It is a super-2 number, since 2×105721600² = 22354113413120000, which contains 22 as substring.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 1860 + ... + 14659.

Almost surely, 2^105721600 is an apocalyptic number.

105721600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105721600 is an abundant number, since it is smaller than the sum of its proper divisors (155971720).

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

105721600 is an equidigital number, since it uses as much as digits as its factorization.

105721600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16545 (or 16526 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 105721600 is about 10282.1009526264. The cubic root of 105721600 is about 472.8476580614.

The spelling of 105721600 in words is "one hundred five million, seven hundred twenty-one thousand, six hundred".