1003763740100 has 108 divisors (see below), whose sum is σ = 2398498369092. Its totient is φ = 364347244800.

The previous prime is 1003763740027. The next prime is 1003763740103. The reversal of 1003763740100 is 10473673001.

It can be written as a sum of positive squares in 6 ways, for example, as 440171210116 + 563592529984 = 663454^2 + 750728^2 .

It is not an unprimeable number, because it can be changed into a prime (1003763740103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6665234 + ... + 6814166.

Almost surely, 2^{1003763740100} is an apocalyptic number.

1003763740100 is a gapful number since it is divisible by the number (10) 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 1003763740100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199249184546).

1003763740100 is an abundant number, since it is smaller than the sum of its proper divisors (1394734628992).

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

1003763740100 is a wasteful number, since it uses less digits than its factorization.

1003763740100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149526 (or 149508 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 32.

The spelling of 1003763740100 in words is "one trillion, three billion, seven hundred sixty-three million, seven hundred forty thousand, one hundred".