10034106673700 has 72 divisors (see below), whose sum is σ = 22000898227392. Its totient is φ = 3972032010880.

The previous prime is 10034106673691. The next prime is 10034106673727. The reversal of 10034106673700 is 737660143001.

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 23 ways as a sum of consecutive naturals, for example, 2467454 + ... + 5114346.

It is an arithmetic number, because the mean of its divisors is an integer number (305568030936).

Almost surely, 2^{10034106673700} is an apocalyptic number.

10034106673700 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 10034106673700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11000449113696).

10034106673700 is an abundant number, since it is smaller than the sum of its proper divisors (11966791553692).

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

10034106673700 is a wasteful number, since it uses less digits than its factorization.

10034106673700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2647301 (or 2647294 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 38.

The spelling of 10034106673700 in words is "ten trillion, thirty-four billion, one hundred six million, six hundred seventy-three thousand, seven hundred".