100065335718432 has 192 divisors, whose sum is σ = 307714239995904. Its totient is φ = 27874964367360.

The previous prime is 100065335718379. The next prime is 100065335718527. The reversal of 100065335718432 is 234817533560001.

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

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 31 ways as a sum of consecutive naturals, for example, 42015123 + ... + 44332845.

It is an arithmetic number, because the mean of its divisors is an integer number (1602678333312).

Almost surely, 2^{100065335718432} is an apocalyptic number.

100065335718432 is a gapful number since it is divisible by the number (12) 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 100065335718432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153857119997952).

100065335718432 is an abundant number, since it is smaller than the sum of its proper divisors (207648904277472).

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

100065335718432 is a wasteful number, since it uses less digits than its factorization.

100065335718432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2319351 (or 2319343 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 48.

The spelling of 100065335718432 in words is "one hundred trillion, sixty-five billion, three hundred thirty-five million, seven hundred eighteen thousand, four hundred thirty-two".