105623720 has 48 divisors (see below), whose sum is σ = 252482940. Its totient is φ = 39759872.

The previous prime is 105623633. The next prime is 105623723. The reversal of 105623720 is 27326501.

It can be written as a sum of positive squares in 6 ways, for example, as 40627876 + 64995844 = 6374^2 + 8062^2 .

It is a super-2 number, since 2×105623720² = 22312740453276800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105623720.

It is not an unprimeable number, because it can be changed into a prime (105623723) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6992 + ... + 16128.

Almost surely, 2^105623720 is an apocalyptic number.

105623720 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 105623720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126241470).

105623720 is an abundant number, since it is smaller than the sum of its proper divisors (146859220).

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

105623720 is a wasteful number, since it uses less digits than its factorization.

105623720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9182 (or 9161 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 105623720 is about 10277.3401228139. The cubic root of 105623720 is about 472.7016878300.

The spelling of 105623720 in words is "one hundred five million, six hundred twenty-three thousand, seven hundred twenty".