101086656 has 112 divisors (see below), whose sum is σ = 304604928. Its totient is φ = 29286400.

The previous prime is 101086651. The next prime is 101086681. The reversal of 101086656 is 656680101.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101086651) 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 15 ways as a sum of consecutive naturals, for example, 47536 + ... + 49616.

Almost surely, 2^101086656 is an apocalyptic number.

101086656 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 101086656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152302464).

101086656 is an abundant number, since it is smaller than the sum of its proper divisors (203518272).

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

101086656 is a wasteful number, since it uses less digits than its factorization.

101086656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2130 (or 2120 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 101086656 is about 10054.1859939032. The cubic root of 101086656 is about 465.8341001058.

The spelling of 101086656 in words is "one hundred one million, eighty-six thousand, six hundred fifty-six".