101085656 has 32 divisors (see below), whose sum is σ = 216948000. Its totient is φ = 43255296.

The previous prime is 101085653. The next prime is 101085661. The reversal of 101085656 is 656580101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101085653) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55610 + ... + 57398.

It is an arithmetic number, because the mean of its divisors is an integer number (6779625).

Almost surely, 2^101085656 is an apocalyptic number.

It is an amenable number.

101085656 is an abundant number, since it is smaller than the sum of its proper divisors (115862344).

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

101085656 is a wasteful number, since it uses less digits than its factorization.

101085656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2811 (or 2807 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 32.

The square root of 101085656 is about 10054.1362632501. The cubic root of 101085656 is about 465.8325640124.

The spelling of 101085656 in words is "one hundred one million, eighty-five thousand, six hundred fifty-six".