106493733 has 24 divisors (see below), whose sum is σ = 158896088. Its totient is φ = 68677632.

The previous prime is 106493719. The next prime is 106493747. The reversal of 106493733 is 337394601.

106493733 is a `hidden beast` number, since 1 + 0 + 649 + 3 + 7 + 3 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (106493719) and next prime (106493747).

It can be written as a sum of positive squares in 4 ways, for example, as 15539364 + 90954369 = 3942^2 + 9537^2 .

It is not a de Polignac number, because 106493733 - 2⁵ = 106493701 is a prime.

It is a super-2 number, since 2×106493733² = 22681830336550578, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106493033) 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, 63441 + ... + 65097.

Almost surely, 2^106493733 is an apocalyptic number.

It is an amenable number.

106493733 is a deficient number, since it is larger than the sum of its proper divisors (52402355).

106493733 is a wasteful number, since it uses less digits than its factorization.

106493733 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1893 (or 1890 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 106493733 is about 10319.5800786660. The cubic root of 106493733 is about 473.9960075506.

The spelling of 106493733 in words is "one hundred six million, four hundred ninety-three thousand, seven hundred thirty-three".