106516628176896 has 1088 divisors, whose sum is σ = 370169669632000. Its totient is φ = 30258353405952.

The previous prime is 106516628176879. The next prime is 106516628176921. The reversal of 106516628176896 is 698671826615601.

106516628176896 is a `hidden beast` number, since 1 + 0 + 6 + 516 + 6 + 2 + 8 + 17 + 6 + 8 + 96 = 666.

It is a super-2 number, since 2×106516628176896² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 63 ways as a sum of consecutive naturals, for example, 135345143415 + ... + 135345144201.

Almost surely, 2^{106516628176896} is an apocalyptic number.

106516628176896 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 106516628176896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185084834816000).

106516628176896 is an abundant number, since it is smaller than the sum of its proper divisors (263653041455104).

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

106516628176896 is an frugal number, since it uses more digits than its factorization.

106516628176896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 72.

The spelling of 106516628176896 in words is "one hundred six trillion, five hundred sixteen billion, six hundred twenty-eight million, one hundred seventy-six thousand, eight hundred ninety-six".