101587680 has 288 divisors, whose sum is σ = 377395200. Its totient is φ = 24800256.

The previous prime is 101587679. The next prime is 101587687. The reversal of 101587680 is 86785101.

101587680 is a `hidden beast` number, since 10 + 1 + 587 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101587687) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1285881 + ... + 1285959.

It is an arithmetic number, because the mean of its divisors is an integer number (1310400).

Almost surely, 2^101587680 is an apocalyptic number.

101587680 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 101587680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188697600).

101587680 is an abundant number, since it is smaller than the sum of its proper divisors (275807520).

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

101587680 is a wasteful number, since it uses less digits than its factorization.

101587680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 155 counting only the distinct ones).

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

The square root of 101587680 is about 10079.0713857974. The cubic root of 101587680 is about 466.6024492134.

The spelling of 101587680 in words is "one hundred one million, five hundred eighty-seven thousand, six hundred eighty".