10103273536160 has 576 divisors, whose sum is σ = 28813215866400. Its totient is φ = 3335796817920.

The previous prime is 10103273536091. The next prime is 10103273536163. The reversal of 10103273536160 is 6163537230101.

It can be written as a sum of positive squares in 16 ways, for example, as 296680659856 + 9806592876304 = 544684^2 + 3131548^2 .

It is a super-2 number, since 2×10103273536160² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10103273536163) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12676628882 + ... + 12676629678.

Almost surely, 2^{10103273536160} is an apocalyptic number.

10103273536160 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 10103273536160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14406607933200).

10103273536160 is an abundant number, since it is smaller than the sum of its proper divisors (18709942330240).

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

10103273536160 is a wasteful number, since it uses less digits than its factorization.

10103273536160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1329 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 38.

The spelling of 10103273536160 in words is "ten trillion, one hundred three billion, two hundred seventy-three million, five hundred thirty-six thousand, one hundred sixty".