100555051106034 has 96 divisors (see below), whose sum is σ = 250049869056000. Its totient is φ = 28608135286752.

The previous prime is 100555051105981. The next prime is 100555051106057. The reversal of 100555051106034 is 430601150555001.

100555051106034 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 5 + 50 + 511 + 0 + 60 + 34 = 666.

It is a super-2 number, since 2×100555051106034² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100555051106034.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 571445637 + ... + 571621575.

It is an arithmetic number, because the mean of its divisors is an integer number (2604686136000).

Almost surely, 2^{100555051106034} is an apocalyptic number.

100555051106034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100555051106034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125024934528000).

100555051106034 is an abundant number, since it is smaller than the sum of its proper divisors (149494817949966).

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

100555051106034 is a wasteful number, since it uses less digits than its factorization.

100555051106034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195172 (or 195169 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 36.

The spelling of 100555051106034 in words is "one hundred trillion, five hundred fifty-five billion, fifty-one million, one hundred six thousand, thirty-four".