106931601 has 48 divisors (see below), whose sum is σ = 187324800. Its totient is φ = 57417984.

The previous prime is 106931579. The next prime is 106931611. The reversal of 106931601 is 106139601.

It is not a de Polignac number, because 106931601 - 2⁹ = 106931089 is a prime.

It is a super-2 number, since 2×106931601² = 22868734584846402, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106931611) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 187645 + ... + 188213.

It is an arithmetic number, because the mean of its divisors is an integer number (3902600).

Almost surely, 2^106931601 is an apocalyptic number.

It is an amenable number.

106931601 is a deficient number, since it is larger than the sum of its proper divisors (80393199).

106931601 is a wasteful number, since it uses less digits than its factorization.

106931601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 106931601 is about 10340.7737137992. The cubic root of 106931601 is about 474.6447589514.

The spelling of 106931601 in words is "one hundred six million, nine hundred thirty-one thousand, six hundred one".