100384521040782 has 48 divisors (see below), whose sum is σ = 237309061392000. Its totient is φ = 30414865021200.

The previous prime is 100384521040781. The next prime is 100384521040789. The reversal of 100384521040782 is 287040125483001.

100384521040782 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 8 + 4 + 521 + 0 + 40 + 7 + 82 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100384521040781) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37768282 + ... + 40338717.

It is an arithmetic number, because the mean of its divisors is an integer number (4943938779000).

Almost surely, 2^{100384521040782} is an apocalyptic number.

100384521040782 is an abundant number, since it is smaller than the sum of its proper divisors (136924540351218).

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

100384521040782 is a wasteful number, since it uses less digits than its factorization.

100384521040782 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78113509 (or 78113506 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 100384521040782 in words is "one hundred trillion, three hundred eighty-four billion, five hundred twenty-one million, forty thousand, seven hundred eighty-two".