106688021 has 16 divisors (see below), whose sum is σ = 122890560. Its totient is φ = 91601280.

The previous prime is 106688011. The next prime is 106688033. The reversal of 106688021 is 120886601.

It is not a de Polignac number, because 106688021 - 2¹⁰ = 106686997 is a prime.

It is a super-2 number, since 2×106688021² = 22764667649792882, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106688011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94955 + ... + 96071.

It is an arithmetic number, because the mean of its divisors is an integer number (7680660).

Almost surely, 2^106688021 is an apocalyptic number.

106688021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106688021 is a deficient number, since it is larger than the sum of its proper divisors (16202539).

106688021 is a wasteful number, since it uses less digits than its factorization.

106688021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1604.

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 106688021 is about 10328.9893503672. The cubic root of 106688021 is about 474.2840864392.

The spelling of 106688021 in words is "one hundred six million, six hundred eighty-eight thousand, twenty-one".