106688004337 has 16 divisors (see below), whose sum is σ = 122745024000. Its totient is φ = 92058750720.

The previous prime is 106688004257. The next prime is 106688004341. The reversal of 106688004337 is 733400886601.

It is not a de Polignac number, because 106688004337 - 2²⁷ = 106553786609 is a prime.

It is a super-2 number, since 2×106688004337² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106688004347) 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, 5317462 + ... + 5337487.

It is an arithmetic number, because the mean of its divisors is an integer number (7671564000).

Almost surely, 2^106688004337 is an apocalyptic number.

106688004337 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

106688004337 is a deficient number, since it is larger than the sum of its proper divisors (16057019663).

106688004337 is a wasteful number, since it uses less digits than its factorization.

106688004337 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10655016.

The product of its (nonzero) digits is 580608, while the sum is 46.

The spelling of 106688004337 in words is "one hundred six billion, six hundred eighty-eight million, four thousand, three hundred thirty-seven".