100105782336 has 336 divisors, whose sum is σ = 342295780736. Its totient is φ = 28414623744.

The previous prime is 100105782311. The next prime is 100105782347. The reversal of 100105782336 is 633287501001.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 100105782336.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17088720 + ... + 17094576.

Almost surely, 2^100105782336 is an apocalyptic number.

100105782336 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 100105782336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171147890368).

100105782336 is an abundant number, since it is smaller than the sum of its proper divisors (242189998400).

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

100105782336 is an equidigital number, since it uses as much as digits as its factorization.

100105782336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6048 (or 6026 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 100105782336 in words is "one hundred billion, one hundred five million, seven hundred eighty-two thousand, three hundred thirty-six".