101608185345 has 8 divisors (see below), whose sum is σ = 162573096576. Its totient is φ = 54191032176.

The previous prime is 101608185317. The next prime is 101608185361. The reversal of 101608185345 is 543581806101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 101608185345 - 2⁶ = 101608185281 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101608185297 and 101608185306.

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 7 ways as a sum of consecutive naturals, for example, 3386939497 + ... + 3386939526.

It is an arithmetic number, because the mean of its divisors is an integer number (20321637072).

Almost surely, 2^101608185345 is an apocalyptic number.

101608185345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101608185345 is a deficient number, since it is larger than the sum of its proper divisors (60964911231).

101608185345 is an equidigital number, since it uses as much as digits as its factorization.

101608185345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6773879031.

The product of its (nonzero) digits is 115200, while the sum is 42.

The spelling of 101608185345 in words is "one hundred one billion, six hundred eight million, one hundred eighty-five thousand, three hundred forty-five".