105201328512 has 384 divisors, whose sum is σ = 331123114080. Its totient is φ = 29503488000.

The previous prime is 105201328483. The next prime is 105201328517. The reversal of 105201328512 is 215823102501.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×105201328512² (a number of 23 digits) contains 22 as substring.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 105201328512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105201328517) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 374381812 + ... + 374382092.

Almost surely, 2^105201328512 is an apocalyptic number.

105201328512 is a gapful number since it is divisible by the number (12) 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 105201328512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165561557040).

105201328512 is an abundant number, since it is smaller than the sum of its proper divisors (225921785568).

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

105201328512 is a wasteful number, since it uses less digits than its factorization.

105201328512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The spelling of 105201328512 in words is "one hundred five billion, two hundred one million, three hundred twenty-eight thousand, five hundred twelve".