105540733 has 2 divisors, whose sum is σ = 105540734. Its totient is φ = 105540732.

The previous prime is 105540713. The next prime is 105540749. The reversal of 105540733 is 337045501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 79602084 + 25938649 = 8922^2 + 5093^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105540733 is a prime.

It is a super-2 number, since 2×105540733² = 22277692644354578, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105540713) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52770366 + 52770367.

It is an arithmetic number, because the mean of its divisors is an integer number (52770367).

Almost surely, 2^105540733 is an apocalyptic number.

It is an amenable number.

105540733 is a deficient number, since it is larger than the sum of its proper divisors (1).

105540733 is an equidigital number, since it uses as much as digits as its factorization.

105540733 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6300, while the sum is 28.

The square root of 105540733 is about 10273.3019521476. The cubic root of 105540733 is about 472.5778571440.

The spelling of 105540733 in words is "one hundred five million, five hundred forty thousand, seven hundred thirty-three".