101565856 has 48 divisors (see below), whose sum is σ = 234118080. Its totient is φ = 42462720.

The previous prime is 101565847. The next prime is 101565899. The reversal of 101565856 is 658565101.

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 7 ways as a sum of consecutive naturals, for example, 3655 + ... + 14713.

It is an arithmetic number, because the mean of its divisors is an integer number (4877460).

Almost surely, 2^101565856 is an apocalyptic number.

101565856 is a gapful number since it is divisible by the number (16) 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 101565856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117059040).

101565856 is an abundant number, since it is smaller than the sum of its proper divisors (132552224).

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

101565856 is a wasteful number, since it uses less digits than its factorization.

101565856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11117 (or 11109 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 37.

The square root of 101565856 is about 10077.9886882254. The cubic root of 101565856 is about 466.5690335435.

The spelling of 101565856 in words is "one hundred one million, five hundred sixty-five thousand, eight hundred fifty-six".