10109292172272 has 120 divisors (see below), whose sum is σ = 28574773418880. Its totient is φ = 3336121718400.

The previous prime is 10109292172267. The next prime is 10109292172319. The reversal of 10109292172272 is 27227129290101.

10109292172272 is a `hidden beast` number, since 10 + 10 + 9 + 292 + 1 + 72 + 272 = 666.

It is a congruent number.

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, 23810647 + ... + 24231497.

It is an arithmetic number, because the mean of its divisors is an integer number (238123111824).

Almost surely, 2^{10109292172272} is an apocalyptic number.

10109292172272 is a gapful number since it is divisible by the number (12) 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 10109292172272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14287386709440).

10109292172272 is an abundant number, since it is smaller than the sum of its proper divisors (18465481246608).

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

10109292172272 is a wasteful number, since it uses less digits than its factorization.

10109292172272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422531 (or 422522 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 10109292172272 in words is "ten trillion, one hundred nine billion, two hundred ninety-two million, one hundred seventy-two thousand, two hundred seventy-two".