105467713 has 8 divisors (see below), whose sum is σ = 114345000. Its totient is φ = 96699648.

The previous prime is 105467647. The next prime is 105467729. The reversal of 105467713 is 317764501.

It can be written as a sum of positive squares in 4 ways, for example, as 7219969 + 98247744 = 2687^2 + 9912^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105467713 is a prime.

It is a super-2 number, since 2×105467713² = 22246876970900738, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105467773) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25288 + ... + 29161.

It is an arithmetic number, because the mean of its divisors is an integer number (14293125).

Almost surely, 2^105467713 is an apocalyptic number.

105467713 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105467713 is a deficient number, since it is larger than the sum of its proper divisors (8877287).

105467713 is a wasteful number, since it uses less digits than its factorization.

105467713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54611.

The product of its (nonzero) digits is 17640, while the sum is 34.

The square root of 105467713 is about 10269.7474652496. The cubic root of 105467713 is about 472.4688452159.

The spelling of 105467713 in words is "one hundred five million, four hundred sixty-seven thousand, seven hundred thirteen".