10105601 has 16 divisors (see below), whose sum is σ = 11577600. Its totient is φ = 8736000.

The previous prime is 10105577. The next prime is 10105607. The reversal of 10105601 is 10650101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10105601 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10105607) 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, 25001 + ... + 25401.

It is an arithmetic number, because the mean of its divisors is an integer number (723600).

Almost surely, 2^10105601 is an apocalyptic number.

10105601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10105601 is a deficient number, since it is larger than the sum of its proper divisors (1471999).

10105601 is a wasteful number, since it uses less digits than its factorization.

10105601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520.

The product of its (nonzero) digits is 30, while the sum is 14.

The square root of 10105601 is about 3178.9307950945. The cubic root of 10105601 is about 216.1991832659.

Adding to 10105601 its reverse (10650101), we get a palindrome (20755702).

The spelling of 10105601 in words is "ten million, one hundred five thousand, six hundred one".