100603284880536 has 256 divisors, whose sum is σ = 294341040000000. Its totient is φ = 31791252713472.

The previous prime is 100603284880517. The next prime is 100603284880561. The reversal of 100603284880536 is 635088482306001.

100603284880536 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 0 + 3 + 28 + 4 + 8 + 80 + 536 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 309912040 + ... + 310236488.

It is an arithmetic number, because the mean of its divisors is an integer number (1149769687500).

Almost surely, 2^{100603284880536} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100603284880536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147170520000000).

100603284880536 is an abundant number, since it is smaller than the sum of its proper divisors (193737755119464).

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

100603284880536 is a wasteful number, since it uses less digits than its factorization.

100603284880536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325391 (or 325381 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 100603284880536 in words is "one hundred trillion, six hundred three billion, two hundred eighty-four million, eight hundred eighty thousand, five hundred thirty-six".