106579715711616 has 2048 divisors, whose sum is σ = 398874378240000. Its totient is φ = 27335190528000.

The previous prime is 106579715711593. The next prime is 106579715711639. The reversal of 106579715711616 is 616117517975601.

It is a happy number.

106579715711616 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 7 + 9 + 7 + 1 + 5 + 7 + 1 + 1 + 616 = 666.

It is an interprime number because it is at equal distance from previous prime (106579715711593) and next prime (106579715711639).

It is a super-2 number, since 2×106579715711616² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 255 ways as a sum of consecutive naturals, for example, 148233262105 + ... + 148233262823.

It is an arithmetic number, because the mean of its divisors is an integer number (194762880000).

Almost surely, 2^{106579715711616} is an apocalyptic number.

106579715711616 is a gapful number since it is divisible by the number (16) 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 106579715711616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199437189120000).

106579715711616 is an abundant number, since it is smaller than the sum of its proper divisors (292294662528384).

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

106579715711616 is a wasteful number, since it uses less digits than its factorization.

106579715711616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 16669800, while the sum is 63.

The spelling of 106579715711616 in words is "one hundred six trillion, five hundred seventy-nine billion, seven hundred fifteen million, seven hundred eleven thousand, six hundred sixteen".