105863720 has 64 divisors (see below), whose sum is σ = 243777600. Its totient is φ = 41367040.

The previous prime is 105863699. The next prime is 105863803. The reversal of 105863720 is 27368501.

It is a happy number.

It is a super-2 number, since 2×105863720² = 22414254424476800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 466247 + ... + 466473.

It is an arithmetic number, because the mean of its divisors is an integer number (3809025).

Almost surely, 2^105863720 is an apocalyptic number.

105863720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105863720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121888800).

105863720 is an abundant number, since it is smaller than the sum of its proper divisors (137913880).

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

105863720 is a wasteful number, since it uses less digits than its factorization.

105863720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 105863720 is about 10289.0096705174. The cubic root of 105863720 is about 473.0594439190.

The spelling of 105863720 in words is "one hundred five million, eight hundred sixty-three thousand, seven hundred twenty".