101783680 has 64 divisors (see below), whose sum is σ = 244555200. Its totient is φ = 40508416.

The previous prime is 101783677. The next prime is 101783687. The reversal of 101783680 is 86387101.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (101783687) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 229539 + ... + 229981.

It is an arithmetic number, because the mean of its divisors is an integer number (3821175).

Almost surely, 2^101783680 is an apocalyptic number.

101783680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101783680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122277600).

101783680 is an abundant number, since it is smaller than the sum of its proper divisors (142771520).

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

101783680 is an equidigital number, since it uses as much as digits as its factorization.

101783680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The square root of 101783680 is about 10088.7898184074. The cubic root of 101783680 is about 466.9023390124.

The spelling of 101783680 in words is "one hundred one million, seven hundred eighty-three thousand, six hundred eighty".