105128755200 has 1152 divisors, whose sum is σ = 453937352400. Its totient is φ = 23781703680.

The previous prime is 105128755187. The next prime is 105128755211. The reversal of 105128755200 is 2557821501.

105128755200 is a `hidden beast` number, since 1 + 0 + 5 + 128 + 7 + 5 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×105128755200² (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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1083801552 + ... + 1083801648.

Almost surely, 2^105128755200 is an apocalyptic number.

105128755200 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 105128755200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226968676200).

105128755200 is an abundant number, since it is smaller than the sum of its proper divisors (348808597200).

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

105128755200 is an frugal number, since it uses more digits than its factorization.

105128755200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 36.

The spelling of 105128755200 in words is "one hundred five billion, one hundred twenty-eight million, seven hundred fifty-five thousand, two hundred".