106591680 has 336 divisors, whose sum is σ = 412760160. Its totient is φ = 25878528.

The previous prime is 106591679. The next prime is 106591697. The reversal of 106591680 is 86195601.

106591680 is a `hidden beast` number, since 1 + 0 + 6 + 591 + 68 + 0 = 666.

It is a super-2 number, since 2×106591680² = 22723572490444800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1460124 + ... + 1460196.

Almost surely, 2^106591680 is an apocalyptic number.

106591680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106591680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206380080).

106591680 is an abundant number, since it is smaller than the sum of its proper divisors (306168480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106591680 is a wasteful number, since it uses less digits than its factorization.

106591680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 106591680 is about 10324.3246752512. The cubic root of 106591680 is about 474.1412813910.

It can be divided in two parts, 10659 and 1680, that multiplied together give a triangular number (17907120 = T₅₉₈₄).

The spelling of 106591680 in words is "one hundred six million, five hundred ninety-one thousand, six hundred eighty".