105116733 has 6 divisors (see below), whose sum is σ = 151835294. Its totient is φ = 70077816.

The previous prime is 105116731. The next prime is 105116749. The reversal of 105116733 is 337611501.

It can be written as a sum of positive squares in only one way, i.e., 102151449 + 2965284 = 10107^2 + 1722^2 .

It is not a de Polignac number, because 105116733 - 2¹ = 105116731 is a prime.

It is a super-2 number, since 2×105116733² = 22099055113186578, 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 = 105116697 and 105116706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105116731) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5839810 + ... + 5839827.

Almost surely, 2^105116733 is an apocalyptic number.

It is an amenable number.

105116733 is a deficient number, since it is larger than the sum of its proper divisors (46718561).

105116733 is a wasteful number, since it uses less digits than its factorization.

105116733 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11679643 (or 11679640 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 105116733 is about 10252.6451708815. The cubic root of 105116733 is about 471.9441620363.

The spelling of 105116733 in words is "one hundred five million, one hundred sixteen thousand, seven hundred thirty-three".