101587320 has 96 divisors (see below), whose sum is σ = 344541600. Its totient is φ = 25910016.

The previous prime is 101587289. The next prime is 101587327. The reversal of 101587320 is 23785101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101587327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2146 + ... + 14414.

It is an arithmetic number, because the mean of its divisors is an integer number (3588975).

Almost surely, 2^101587320 is an apocalyptic number.

101587320 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 101587320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172270800).

101587320 is an abundant number, since it is smaller than the sum of its proper divisors (242954280).

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

101587320 is a wasteful number, since it uses less digits than its factorization.

101587320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12309 (or 12302 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 101587320 is about 10079.0535269935. The cubic root of 101587320 is about 466.6018980407.

The spelling of 101587320 in words is "one hundred one million, five hundred eighty-seven thousand, three hundred twenty".