101785680 has 80 divisors (see below), whose sum is σ = 350602560. Its totient is φ = 27142272.

The previous prime is 101785643. The next prime is 101785699. The reversal of 101785680 is 86587101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21402 + ... + 25721.

It is an arithmetic number, because the mean of its divisors is an integer number (4382532).

Almost surely, 2^101785680 is an apocalyptic number.

101785680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101785680 is an abundant number, since it is smaller than the sum of its proper divisors (248816880).

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

101785680 is a wasteful number, since it uses less digits than its factorization.

101785680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47145 (or 47133 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The square root of 101785680 is about 10088.8889378365. Note that the first 3 decimals coincide. The cubic root of 101785680 is about 466.9053971273.

The spelling of 101785680 in words is "one hundred one million, seven hundred eighty-five thousand, six hundred eighty".