105807460 has 48 divisors (see below), whose sum is σ = 243294912. Its totient is φ = 38332800.

The previous prime is 105807431. The next prime is 105807463. The reversal of 105807460 is 64708501.

It is a super-2 number, since 2×105807460² = 22390437183303200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (105807463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72094 + ... + 73546.

It is an arithmetic number, because the mean of its divisors is an integer number (5068644).

Almost surely, 2^105807460 is an apocalyptic number.

105807460 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 105807460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121647456).

105807460 is an abundant number, since it is smaller than the sum of its proper divisors (137487452).

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

105807460 is a wasteful number, since it uses less digits than its factorization.

105807460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1804 (or 1802 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 105807460 is about 10286.2753220007. The cubic root of 105807460 is about 472.9756284868.

The spelling of 105807460 in words is "one hundred five million, eight hundred seven thousand, four hundred sixty".