819282401106 has 128 divisors (see below), whose sum is σ = 1967442462720. Its totient is φ = 224691397632.

The previous prime is 819282401039. The next prime is 819282401117. The reversal of 819282401106 is 601104282918.

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 63 ways as a sum of consecutive naturals, for example, 125135325 + ... + 125141871.

It is an arithmetic number, because the mean of its divisors is an integer number (15370644240).

Almost surely, 2^819282401106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 819282401106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983721231360).

819282401106 is an abundant number, since it is smaller than the sum of its proper divisors (1148160061614).

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

819282401106 is a wasteful number, since it uses less digits than its factorization.

819282401106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11568.

The product of its (nonzero) digits is 55296, while the sum is 42.

The spelling of 819282401106 in words is "eight hundred nineteen billion, two hundred eighty-two million, four hundred one thousand, one hundred six".