100734350985 has 12 divisors (see below), whose sum is σ = 174606208452. Its totient is φ = 53724987168.

The previous prime is 100734350971. The next prime is 100734351007. The reversal of 100734350985 is 589053437001.

100734350985 is a `hidden beast` number, since 100 + 7 + 34 + 3 + 509 + 8 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 28946258496 + 71788092489 = 170136^2 + 267933^2 .

It is not a de Polignac number, because 100734350985 - 2¹⁴ = 100734334601 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 2238541133 = 100734350985 / (1 + 0 + 0 + 7 + 3 + 4 + 3 + 5 + 0 + 9 + 8 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 100734350985.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1119270522 + ... + 1119270611.

It is an arithmetic number, because the mean of its divisors is an integer number (14550517371).

Almost surely, 2^100734350985 is an apocalyptic number.

100734350985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100734350985 is a deficient number, since it is larger than the sum of its proper divisors (73871857467).

100734350985 is a wasteful number, since it uses less digits than its factorization.

100734350985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2238541144 (or 2238541141 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

Adding to 100734350985 its reverse (589053437001), we get a palindrome (689787787986).

The spelling of 100734350985 in words is "one hundred billion, seven hundred thirty-four million, three hundred fifty thousand, nine hundred eighty-five".