105231720 has 128 divisors (see below), whose sum is σ = 356400000. Its totient is φ = 24622080.

The previous prime is 105231703. The next prime is 105231733. The reversal of 105231720 is 27132501.

It is a super-2 number, since 2×105231720² = 22147429788316800, 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 31 ways as a sum of consecutive naturals, for example, 36906 + ... + 39654.

It is an arithmetic number, because the mean of its divisors is an integer number (2784375).

Almost surely, 2^105231720 is an apocalyptic number.

105231720 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 105231720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178200000).

105231720 is an abundant number, since it is smaller than the sum of its proper divisors (251168280).

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

105231720 is a wasteful number, since it uses less digits than its factorization.

105231720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2803 (or 2799 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 105231720 is about 10258.2513129675. The cubic root of 105231720 is about 472.1161856084.

The spelling of 105231720 in words is "one hundred five million, two hundred thirty-one thousand, seven hundred twenty".