10109722415104 has 104 divisors (see below), whose sum is σ = 21928778758880. Its totient is φ = 4632453808128.

The previous prime is 10109722415083. The next prime is 10109722415119. The reversal of 10109722415104 is 40151422790101.

It is a tau number, because it is divible by the number of its divisors (104).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6718519 + ... + 8084425.

Almost surely, 2^{10109722415104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10109722415104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10964389379440).

10109722415104 is an abundant number, since it is smaller than the sum of its proper divisors (11819056343776).

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

10109722415104 is a wasteful number, since it uses less digits than its factorization.

10109722415104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366083 (or 1366061 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 37.

The spelling of 10109722415104 in words is "ten trillion, one hundred nine billion, seven hundred twenty-two million, four hundred fifteen thousand, one hundred four".