1006195108128 has 96 divisors (see below), whose sum is σ = 3041628226560. Its totient is φ = 285289754880.

The previous prime is 1006195108067. The next prime is 1006195108159. The reversal of 1006195108128 is 8218015916001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1006195108128² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 1006195108128.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5626908 + ... + 5802971.

It is an arithmetic number, because the mean of its divisors is an integer number (31683627360).

Almost surely, 2^{1006195108128} is an apocalyptic number.

It is an amenable number.

1006195108128 is an abundant number, since it is smaller than the sum of its proper divisors (2035433118432).

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

1006195108128 is a wasteful number, since it uses less digits than its factorization.

1006195108128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11430030 (or 11430022 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 42.

The spelling of 1006195108128 in words is "one trillion, six billion, one hundred ninety-five million, one hundred eight thousand, one hundred twenty-eight".