106698257664 has 144 divisors (see below), whose sum is σ = 288505694400. Its totient is φ = 35000598528.

The previous prime is 106698257597. The next prime is 106698257671. The reversal of 106698257664 is 466752896601.

106698257664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106698257664² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106698257598 and 106698257607.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 28534707 + ... + 28538445.

Almost surely, 2^106698257664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106698257664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144252847200).

106698257664 is an abundant number, since it is smaller than the sum of its proper divisors (181807436736).

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

106698257664 is an equidigital number, since it uses as much as digits as its factorization.

106698257664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4340 (or 4326 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 60.

The spelling of 106698257664 in words is "one hundred six billion, six hundred ninety-eight million, two hundred fifty-seven thousand, six hundred sixty-four".