105162547661028 has 576 divisors, whose sum is σ = 325157414400000. Its totient is φ = 28218654858240.

The previous prime is 105162547661021. The next prime is 105162547661033. The reversal of 105162547661028 is 820166745261501.

105162547661028 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 6 + 2 + 547 + 66 + 10 + 28 = 666.

It is a super-2 number, since 2×105162547661028² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105162547661021) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 24925939503 + ... + 24925943721.

It is an arithmetic number, because the mean of its divisors is an integer number (564509400000).

Almost surely, 2^{105162547661028} is an apocalyptic number.

105162547661028 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 105162547661028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162578707200000).

105162547661028 is an abundant number, since it is smaller than the sum of its proper divisors (219994866738972).

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

105162547661028 is a wasteful number, since it uses less digits than its factorization.

105162547661028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5320 (or 5315 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 105162547661028 in words is "one hundred five trillion, one hundred sixty-two billion, five hundred forty-seven million, six hundred sixty-one thousand, twenty-eight".