100785295699344 has 135 divisors (see below), whose sum is σ = 282680231260609. Its totient is φ = 33521250299520.

The previous prime is 100785295699337. The next prime is 100785295699373. The reversal of 100785295699344 is 443996592587001.

The square root of 100785295699344 is 10039188.

It is a perfect power (a square), and thus also a powerful number.

100785295699344 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 8 + 5 + 29 + 569 + 9 + 34 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 27518543539344 + 73266752160000 = 5245812^2 + 8559600^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 98906079667 + ... + 98906080685.

It is a 1-persistent number, because it is pandigital, but 2⋅100785295699344 = 201570591398688 is not.

Almost surely, 2^{100785295699344} is an apocalyptic number.

100785295699344 is the 10039188-th square number.

It is an amenable number.

100785295699344 is an abundant number, since it is smaller than the sum of its proper divisors (181894935561265).

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

100785295699344 is an frugal number, since it uses more digits than its factorization.

100785295699344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3694 (or 1845 counting only the distinct ones).

The product of its (nonzero) digits is 587865600, while the sum is 72.

The spelling of 100785295699344 in words is "one hundred trillion, seven hundred eighty-five billion, two hundred ninety-five million, six hundred ninety-nine thousand, three hundred forty-four".