101680776 has 48 divisors (see below), whose sum is σ = 278079360. Its totient is φ = 33562080.

The previous prime is 101680763. The next prime is 101680781. The reversal of 101680776 is 677086101.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 101680776.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 561 + ... + 14271.

It is an arithmetic number, because the mean of its divisors is an integer number (5793320).

Almost surely, 2^101680776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101680776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139039680).

101680776 is an abundant number, since it is smaller than the sum of its proper divisors (176398584).

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

101680776 is a wasteful number, since it uses less digits than its factorization.

101680776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13826 (or 13819 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 101680776 is about 10083.6886108209. The cubic root of 101680776 is about 466.7449387984.

The spelling of 101680776 in words is "one hundred one million, six hundred eighty thousand, seven hundred seventy-six".