101749973985 has 64 divisors (see below), whose sum is σ = 199287371520. Its totient is φ = 48844800000.

The previous prime is 101749973971. The next prime is 101749973993. The reversal of 101749973985 is 589379947101.

101749973985 is a `hidden beast` number, since 101 + 7 + 499 + 7 + 39 + 8 + 5 = 666.

It is not a de Polignac number, because 101749973985 - 2¹⁵ = 101749941217 is a prime.

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 63 ways as a sum of consecutive naturals, for example, 189216 + ... + 489185.

It is an arithmetic number, because the mean of its divisors is an integer number (3113865180).

Almost surely, 2^101749973985 is an apocalyptic number.

101749973985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101749973985 is a deficient number, since it is larger than the sum of its proper divisors (97537397535).

101749973985 is a wasteful number, since it uses less digits than its factorization.

101749973985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678527 (or 678521 counting only the distinct ones).

The product of its (nonzero) digits is 17146080, while the sum is 63.

The spelling of 101749973985 in words is "one hundred one billion, seven hundred forty-nine million, nine hundred seventy-three thousand, nine hundred eighty-five".