1002106436352 has 144 divisors (see below), whose sum is σ = 3048638100480. Its totient is φ = 286263115776.

The previous prime is 1002106436341. The next prime is 1002106436371. The reversal of 1002106436352 is 2536346012001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36021424 + ... + 36049232.

It is an arithmetic number, because the mean of its divisors is an integer number (21171097920).

Almost surely, 2^{1002106436352} is an apocalyptic number.

1002106436352 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 1002106436352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524319050240).

1002106436352 is an abundant number, since it is smaller than the sum of its proper divisors (2046531664128).

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

1002106436352 is an equidigital number, since it uses as much as digits as its factorization.

1002106436352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34538 (or 34524 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The spelling of 1002106436352 in words is "one trillion, two billion, one hundred six million, four hundred thirty-six thousand, three hundred fifty-two".