106675627608 has 192 divisors, whose sum is σ = 318801225600. Its totient is φ = 31956288000.

The previous prime is 106675627601. The next prime is 106675627621. The reversal of 106675627608 is 806726576601.

106675627608 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 7 + 5 + 6 + 27 + 608 = 666.

It is a super-2 number, since 2×106675627608² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106675627601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29152483 + ... + 29156141.

It is an arithmetic number, because the mean of its divisors is an integer number (1660423050).

Almost surely, 2^106675627608 is an apocalyptic number.

106675627608 is a gapful number since it is divisible by the number (18) 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 106675627608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159400612800).

106675627608 is an abundant number, since it is smaller than the sum of its proper divisors (212125597992).

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

106675627608 is a wasteful number, since it uses less digits than its factorization.

106675627608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4094 (or 4087 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 106675627608 in words is "one hundred six billion, six hundred seventy-five million, six hundred twenty-seven thousand, six hundred eight".