105602300014272 has 224 divisors, whose sum is σ = 290314302849024. Its totient is φ = 33842154931200.

The previous prime is 105602300014271. The next prime is 105602300014291. The reversal of 105602300014272 is 272410003206501.

It is a super-2 number, since 2×105602300014272² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105602300014271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 557446993 + ... + 557636399.

Almost surely, 2^{105602300014272} is an apocalyptic number.

105602300014272 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 105602300014272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145157151424512).

105602300014272 is an abundant number, since it is smaller than the sum of its proper divisors (184712002834752).

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

105602300014272 is a wasteful number, since it uses less digits than its factorization.

105602300014272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190067 (or 190057 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 105602300014272 in words is "one hundred five trillion, six hundred two billion, three hundred million, fourteen thousand, two hundred seventy-two".