101806656 has 112 divisors (see below), whose sum is σ = 310164480. Its totient is φ = 28869120.

The previous prime is 101806637. The next prime is 101806669. The reversal of 101806656 is 656608101.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 283405 + ... + 283763.

Almost surely, 2^101806656 is an apocalyptic number.

101806656 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 101806656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155082240).

101806656 is an abundant number, since it is smaller than the sum of its proper divisors (208357824).

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

101806656 is a wasteful number, since it uses less digits than its factorization.

101806656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 582 counting only the distinct ones).

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

The square root of 101806656 is about 10089.9284437502. The cubic root of 101806656 is about 466.9374682233.

It can be divided in two parts, 10180 and 6656, that added together give a triangular number (16836 = T₁₈₃).

The spelling of 101806656 in words is "one hundred one million, eight hundred six thousand, six hundred fifty-six".