105720000 has 140 divisors (see below), whose sum is σ = 349931736. Its totient is φ = 28160000.

The previous prime is 105719963. The next prime is 105720011. The reversal of 105720000 is 27501.

It is a happy number.

It is a super-2 number, since 2×105720000² = 22353436800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 119560 + ... + 120440.

Almost surely, 2^105720000 is an apocalyptic number.

105720000 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 105720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174965868).

105720000 is an abundant number, since it is smaller than the sum of its proper divisors (244211736).

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

105720000 is an frugal number, since it uses more digits than its factorization.

105720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 105720000 is about 10282.0231472216. The cubic root of 105720000 is about 472.8452726767.

Adding to 105720000 its reverse (27501), we get a palindrome (105747501).

The spelling of 105720000 in words is "one hundred five million, seven hundred twenty thousand".