1106138127630 has 64 divisors (see below), whose sum is σ = 2706719146560. Its totient is φ = 289201575936.

The previous prime is 1106138127623. The next prime is 1106138127641. The reversal of 1106138127630 is 367218316011.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2028694 + ... + 2515526.

It is an arithmetic number, because the mean of its divisors is an integer number (42292486665).

Almost surely, 2^{1106138127630} is an apocalyptic number.

1106138127630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1106138127630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353359573280).

1106138127630 is an abundant number, since it is smaller than the sum of its proper divisors (1600581018930).

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

1106138127630 is a wasteful number, since it uses less digits than its factorization.

1106138127630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488325.

The product of its (nonzero) digits is 36288, while the sum is 39.

The spelling of 1106138127630 in words is "one trillion, one hundred six billion, one hundred thirty-eight million, one hundred twenty-seven thousand, six hundred thirty".