106788693 has 16 divisors (see below), whose sum is σ = 158262336. Its totient is φ = 63498240.

The previous prime is 106788667. The next prime is 106788727. The reversal of 106788693 is 396887601.

It is not a de Polignac number, because 106788693 - 2⁹ = 106788181 is a prime.

It is a super-2 number, since 2×106788693² = 22807649905296498, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106788193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28780 + ... + 32277.

It is an arithmetic number, because the mean of its divisors is an integer number (9891396).

Almost surely, 2^106788693 is an apocalyptic number.

It is an amenable number.

106788693 is a deficient number, since it is larger than the sum of its proper divisors (51473643).

106788693 is a wasteful number, since it uses less digits than its factorization.

106788693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61124.

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 106788693 is about 10333.8614757505. The cubic root of 106788693 is about 474.4332194494.

The spelling of 106788693 in words is "one hundred six million, seven hundred eighty-eight thousand, six hundred ninety-three".