106608648960 has 432 divisors, whose sum is σ = 417303694080. Its totient is φ = 25843691520.

The previous prime is 106608648953. The next prime is 106608649039. The reversal of 106608648960 is 69846806601.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×106608648960² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 106608648897 and 106608648906.

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, 3405861 + ... + 3437019.

Almost surely, 2^106608648960 is an apocalyptic number.

106608648960 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 106608648960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208651847040).

106608648960 is an abundant number, since it is smaller than the sum of its proper divisors (310695045120).

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

106608648960 is an equidigital number, since it uses as much as digits as its factorization.

106608648960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31206 (or 31180 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 106608648960 in words is "one hundred six billion, six hundred eight million, six hundred forty-eight thousand, nine hundred sixty".