100785747216 has 480 divisors, whose sum is σ = 347645177856. Its totient is φ = 24845184000.

The previous prime is 100785747191. The next prime is 100785747217. The reversal of 100785747216 is 612747587001.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (100785747217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42506511 + ... + 42508881.

Almost surely, 2^100785747216 is an apocalyptic number.

100785747216 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 100785747216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173822588928).

100785747216 is an abundant number, since it is smaller than the sum of its proper divisors (246859430640).

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

100785747216 is a wasteful number, since it uses less digits than its factorization.

100785747216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2491 (or 2478 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 48.

The spelling of 100785747216 in words is "one hundred billion, seven hundred eighty-five million, seven hundred forty-seven thousand, two hundred sixteen".