106680658480 has 320 divisors, whose sum is σ = 287047877760. Its totient is φ = 36517478400.

The previous prime is 106680658417. The next prime is 106680658493. The reversal of 106680658480 is 84856086601.

It is a super-2 number, since 2×106680658480² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 209588466 + ... + 209588974.

It is an arithmetic number, because the mean of its divisors is an integer number (897024618).

Almost surely, 2^106680658480 is an apocalyptic number.

106680658480 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 106680658480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143523938880).

106680658480 is an abundant number, since it is smaller than the sum of its proper divisors (180367219280).

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

106680658480 is a wasteful number, since it uses less digits than its factorization.

106680658480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 52.

The spelling of 106680658480 in words is "one hundred six billion, six hundred eighty million, six hundred fifty-eight thousand, four hundred eighty".