10105171933 has 8 divisors (see below), whose sum is σ = 10160156160. Its totient is φ = 10050225360.

The previous prime is 10105171919. The next prime is 10105171939. The reversal of 10105171933 is 33917150101.

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 10105171933 - 2¹³ = 10105163741 is a prime.

It is a super-2 number, since 2×10105171933² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10105171895 and 10105171904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10105171939) 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, 654088 + ... + 669358.

It is an arithmetic number, because the mean of its divisors is an integer number (1270019520).

Almost surely, 2^10105171933 is an apocalyptic number.

It is an amenable number.

10105171933 is a deficient number, since it is larger than the sum of its proper divisors (54984227).

10105171933 is a wasteful number, since it uses less digits than its factorization.

10105171933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18827.

The product of its (nonzero) digits is 2835, while the sum is 31.

The spelling of 10105171933 in words is "ten billion, one hundred five million, one hundred seventy-one thousand, nine hundred thirty-three".