10127338793104 has 135 divisors (see below), whose sum is σ = 22431280283019. Its totient is φ = 4426773361920.

The previous prime is 10127338793093. The next prime is 10127338793183. The reversal of 10127338793104 is 40139783372101.

It is a happy number.

The square root of 10127338793104 is 3182348.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 108543891600 + 10018794901504 = 329460^2 + 3165248^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3144158214 + ... + 3144161434.

Almost surely, 2^{10127338793104} is an apocalyptic number.

10127338793104 is the 3182348-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10127338793104

10127338793104 is an abundant number, since it is smaller than the sum of its proper divisors (12303941489915).

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

10127338793104 is an frugal number, since it uses more digits than its factorization.

10127338793104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6514 (or 3255 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 49.

Multiplying 10127338793104 by its sum of digits (49), we get a square (496239600862096 = 22276436²).

The spelling of 10127338793104 in words is "ten trillion, one hundred twenty-seven billion, three hundred thirty-eight million, seven hundred ninety-three thousand, one hundred four".