101805656414 has 32 divisors (see below), whose sum is σ = 190420070400. Its totient is φ = 39658235040.

The previous prime is 101805656389. The next prime is 101805656443. The reversal of 101805656414 is 414656508101.

It is a Curzon number.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 985532 + ... + 1083920.

It is an arithmetic number, because the mean of its divisors is an integer number (5950627200).

Almost surely, 2^101805656414 is an apocalyptic number.

101805656414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

101805656414 is a deficient number, since it is larger than the sum of its proper divisors (88614413986).

101805656414 is a wasteful number, since it uses less digits than its factorization.

101805656414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105128.

The product of its (nonzero) digits is 115200, while the sum is 41.

The spelling of 101805656414 in words is "one hundred one billion, eight hundred five million, six hundred fifty-six thousand, four hundred fourteen".