106698332160 has 1920 divisors, whose sum is σ = 493180047360. Its totient is φ = 21488467968.

The previous prime is 106698332141. The next prime is 106698332171. The reversal of 106698332160 is 61233896601.

106698332160 is a `hidden beast` number, since 10 + 66 + 98 + 332 + 160 = 666.

106698332160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×106698332160² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 159 ways as a sum of consecutive naturals, for example, 2270177257 + ... + 2270177303.

It is an arithmetic number, because the mean of its divisors is an integer number (256864608).

Almost surely, 2^106698332160 is an apocalyptic number.

106698332160 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 106698332160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246590023680).

106698332160 is an abundant number, since it is smaller than the sum of its proper divisors (386481715200).

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

106698332160 is a wasteful number, since it uses less digits than its factorization.

106698332160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 106698332160 in words is "one hundred six billion, six hundred ninety-eight million, three hundred thirty-two thousand, one hundred sixty".