100780347073536 has 2816 divisors, whose sum is σ = 379370660659200. Its totient is φ = 26066445926400.

The previous prime is 100780347073529. The next prime is 100780347073541. The reversal of 100780347073536 is 635370743087001.

100780347073536 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 8 + 0 + 34 + 7 + 0 + 73 + 536 = 666.

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

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 255 ways as a sum of consecutive naturals, for example, 147555412651 + ... + 147555413333.

Almost surely, 2^{100780347073536} is an apocalyptic number.

100780347073536 is a gapful number since it is divisible by the number (16) 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 100780347073536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189685330329600).

100780347073536 is an abundant number, since it is smaller than the sum of its proper divisors (278590313585664).

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

100780347073536 is a wasteful number, since it uses less digits than its factorization.

100780347073536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 54.

The spelling of 100780347073536 in words is "one hundred trillion, seven hundred eighty billion, three hundred forty-seven million, seventy-three thousand, five hundred thirty-six".