108505287779634 has 192 divisors, whose sum is σ = 241273366633728. Its totient is φ = 35233332019200.

The previous prime is 108505287779611. The next prime is 108505287779659. The reversal of 108505287779634 is 436977782505801.

108505287779634 is a `hidden beast` number, since 1 + 0 + 8 + 5 + 0 + 528 + 7 + 7 + 7 + 96 + 3 + 4 = 666.

It is a super-2 number, since 2×108505287779634² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29998695394 + ... + 29998699010.

It is an arithmetic number, because the mean of its divisors is an integer number (1256632117884).

It is a 1-persistent number, because it is pandigital, but 2⋅108505287779634 = 217010575559268 is not.

Almost surely, 2^{108505287779634} is an apocalyptic number.

108505287779634 is an abundant number, since it is smaller than the sum of its proper divisors (132768078854094).

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

108505287779634 is a wasteful number, since it uses less digits than its factorization.

108505287779634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4673 (or 4670 counting only the distinct ones).

The product of its (nonzero) digits is 711244800, while the sum is 72.

The spelling of 108505287779634 in words is "one hundred eight trillion, five hundred five billion, two hundred eighty-seven million, seven hundred seventy-nine thousand, six hundred thirty-four".