1003601979900 has 504 divisors, whose sum is σ = 3523617859440. Its totient is φ = 246534036480.

The previous prime is 1003601979883. The next prime is 1003601979953. The reversal of 1003601979900 is 99791063001.

1003601979900 is a `hidden beast` number, since 10 + 0 + 360 + 197 + 9 + 90 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 700349584 + ... + 700351016.

Almost surely, 2^{1003601979900} is an apocalyptic number.

1003601979900 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 1003601979900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761808929720).

1003601979900 is an abundant number, since it is smaller than the sum of its proper divisors (2520015879540).

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

1003601979900 is a wasteful number, since it uses less digits than its factorization.

1003601979900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2217 (or 2195 counting only the distinct ones).

The product of its (nonzero) digits is 91854, while the sum is 45.

The spelling of 1003601979900 in words is "one trillion, three billion, six hundred one million, nine hundred seventy-nine thousand, nine hundred".