10105757101 has 32 divisors (see below), whose sum is σ = 11460556800. Its totient is φ = 8831592000.

The previous prime is 10105757099. The next prime is 10105757147. The reversal of 10105757101 is 10175750101.

It is not a de Polignac number, because 10105757101 - 2¹ = 10105757099 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10105757101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10105757161) 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 31 ways as a sum of consecutive naturals, for example, 9506296 + ... + 9507358.

It is an arithmetic number, because the mean of its divisors is an integer number (358142400).

Almost surely, 2^10105757101 is an apocalyptic number.

10105757101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10105757101 is a deficient number, since it is larger than the sum of its proper divisors (1354799699).

10105757101 is a wasteful number, since it uses less digits than its factorization.

10105757101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1417.

The product of its (nonzero) digits is 1225, while the sum is 28.

The spelling of 10105757101 in words is "ten billion, one hundred five million, seven hundred fifty-seven thousand, one hundred one".