106330603680 has 288 divisors, whose sum is σ = 423154368000. Its totient is φ = 24304025088.

The previous prime is 106330603669. The next prime is 106330603703. The reversal of 106330603680 is 86306033601.

106330603680 is a `hidden beast` number, since 10 + 6 + 3 + 30 + 603 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×106330603680² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 386281 + ... + 601559.

It is an arithmetic number, because the mean of its divisors is an integer number (1469286000).

Almost surely, 2^106330603680 is an apocalyptic number.

106330603680 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 106330603680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211577184000).

106330603680 is an abundant number, since it is smaller than the sum of its proper divisors (316823764320).

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

106330603680 is a wasteful number, since it uses less digits than its factorization.

106330603680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215321 (or 215296 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 106330603680 in words is "one hundred six billion, three hundred thirty million, six hundred three thousand, six hundred eighty".