101536656 has 160 divisors (see below), whose sum is σ = 303313920. Its totient is φ = 29030400.

The previous prime is 101536637. The next prime is 101536657. The reversal of 101536656 is 656635101.

It is not an unprimeable number, because it can be changed into a prime (101536657) 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 31 ways as a sum of consecutive naturals, for example, 560886 + ... + 561066.

It is an arithmetic number, because the mean of its divisors is an integer number (1895712).

Almost surely, 2^101536656 is an apocalyptic number.

101536656 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 101536656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151656960).

101536656 is an abundant number, since it is smaller than the sum of its proper divisors (201777264).

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

101536656 is a wasteful number, since it uses less digits than its factorization.

101536656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 101536656 is about 10076.5398823207. The cubic root of 101536656 is about 466.5243166733.

The spelling of 101536656 in words is "one hundred one million, five hundred thirty-six thousand, six hundred fifty-six".