106864693 has 16 divisors (see below), whose sum is σ = 120516480. Its totient is φ = 94019904.

The previous prime is 106864687. The next prime is 106864711. The reversal of 106864693 is 396468601.

It is a cyclic number.

It is not a de Polignac number, because 106864693 - 2¹³ = 106856501 is a prime.

It is a super-2 number, since 2×106864693² = 22840125219968498, 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 (106864603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124855 + ... + 125707.

It is an arithmetic number, because the mean of its divisors is an integer number (7532280).

Almost surely, 2^106864693 is an apocalyptic number.

106864693 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

106864693 is a deficient number, since it is larger than the sum of its proper divisors (13651787).

106864693 is a wasteful number, since it uses less digits than its factorization.

106864693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308.

The product of its (nonzero) digits is 186624, while the sum is 43.

The square root of 106864693 is about 10337.5380531343. The cubic root of 106864693 is about 474.5457418938.

The spelling of 106864693 in words is "one hundred six million, eight hundred sixty-four thousand, six hundred ninety-three".