10105581083 has 8 divisors (see below), whose sum is σ = 10883741568. Its totient is φ = 9327536064.

The previous prime is 10105581071. The next prime is 10105581103. The reversal of 10105581083 is 38018550101.

It is a happy number.

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-10105581083 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10105511083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 260135 + ... + 296447.

It is an arithmetic number, because the mean of its divisors is an integer number (1360467696).

Almost surely, 2^10105581083 is an apocalyptic number.

10105581083 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10105581083 is a deficient number, since it is larger than the sum of its proper divisors (778160485).

10105581083 is a wasteful number, since it uses less digits than its factorization.

10105581083 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57733.

The product of its (nonzero) digits is 4800, while the sum is 32.

The spelling of 10105581083 in words is "ten billion, one hundred five million, five hundred eighty-one thousand, eighty-three".