105752933 has 24 divisors (see below), whose sum is σ = 126050400. Its totient is φ = 87946560.

The previous prime is 105752909. The next prime is 105752947. The reversal of 105752933 is 339257501.

It is a happy number.

It is not a de Polignac number, because 105752933 - 2¹⁸ = 105490789 is a prime.

It is a super-2 number, since 2×105752933² = 22367365676204978, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105752893 and 105752902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105752033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 302843 + ... + 303191.

It is an arithmetic number, because the mean of its divisors is an integer number (5252100).

Almost surely, 2^105752933 is an apocalyptic number.

105752933 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105752933 is a deficient number, since it is larger than the sum of its proper divisors (20297467).

105752933 is a wasteful number, since it uses less digits than its factorization.

105752933 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 35.

The square root of 105752933 is about 10283.6245069528. The cubic root of 105752933 is about 472.8943664990.

The spelling of 105752933 in words is "one hundred five million, seven hundred fifty-two thousand, nine hundred thirty-three".