100105061110056 has 48 divisors (see below), whose sum is σ = 281159276580000. Its totient is φ = 33368353702704.

The previous prime is 100105061110009. The next prime is 100105061110057. The reversal of 100105061110056 is 650011160501001.

100105061110056 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 0 + 506 + 1 + 1 + 100 + 56 = 666.

100105061110056 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (100105061110057) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25747184556 + ... + 25747188443.

It is an arithmetic number, because the mean of its divisors is an integer number (5857484928750).

Almost surely, 2^{100105061110056} is an apocalyptic number.

It is an amenable number.

100105061110056 is an abundant number, since it is smaller than the sum of its proper divisors (181054215469944).

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

100105061110056 is an equidigital number, since it uses as much as digits as its factorization.

100105061110056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51494373020 (or 51494373004 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

The spelling of 100105061110056 in words is "one hundred trillion, one hundred five billion, sixty-one million, one hundred ten thousand, fifty-six".