105732401 has 8 divisors (see below), whose sum is σ = 112053960. Its totient is φ = 99422208.

The previous prime is 105732383. The next prime is 105732409. The reversal of 105732401 is 104237501.

It can be written as a sum of positive squares in 4 ways, for example, as 37834801 + 67897600 = 6151^2 + 8240^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 105732401 - 2¹⁸ = 105470257 is a prime.

It is a super-2 number, since 2×105732401² = 22358681242449602, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105732409) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 23225 + ... + 27401.

It is an arithmetic number, because the mean of its divisors is an integer number (14006745).

Almost surely, 2^105732401 is an apocalyptic number.

It is an amenable number.

105732401 is a deficient number, since it is larger than the sum of its proper divisors (6321559).

105732401 is a wasteful number, since it uses less digits than its factorization.

105732401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5683.

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 105732401 is about 10282.6261723355. The cubic root of 105732401 is about 472.8637602696.

Adding to 105732401 its reverse (104237501), we get a palindrome (209969902).

The spelling of 105732401 in words is "one hundred five million, seven hundred thirty-two thousand, four hundred one".