106465235328 has 128 divisors (see below), whose sum is σ = 314912556000. Its totient is φ = 35410231296.

The previous prime is 106465235323. The next prime is 106465235389. The reversal of 106465235328 is 823532564601.

106465235328 is a `hidden beast` number, since 1 + 0 + 64 + 6 + 52 + 3 + 532 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×106465235328² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106465235323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1545688 + ... + 1613096.

Almost surely, 2^106465235328 is an apocalyptic number.

106465235328 is a gapful number since it is divisible by the number (18) 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 106465235328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157456278000).

106465235328 is an abundant number, since it is smaller than the sum of its proper divisors (208447320672).

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

106465235328 is an equidigital number, since it uses as much as digits as its factorization.

106465235328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67889 (or 67871 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

Adding to 106465235328 its reverse (823532564601), we get a palindrome (929997799929).

The spelling of 106465235328 in words is "one hundred six billion, four hundred sixty-five million, two hundred thirty-five thousand, three hundred twenty-eight".