101661056 has 64 divisors (see below), whose sum is σ = 234420480. Its totient is φ = 43012608.

The previous prime is 101661029. The next prime is 101661067. The reversal of 101661056 is 650166101.

It is a tau number, because it is divible by the number of its divisors (64).

It is a zygodrome in base 2.

It is a congruent number.

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, 73685 + ... + 75051.

It is an arithmetic number, because the mean of its divisors is an integer number (3662820).

Almost surely, 2^101661056 is an apocalyptic number.

101661056 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 101661056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117210240).

101661056 is an abundant number, since it is smaller than the sum of its proper divisors (132759424).

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

101661056 is an equidigital number, since it uses as much as digits as its factorization.

101661056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471 (or 1459 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 101661056 is about 10082.7107466197. The cubic root of 101661056 is about 466.7147632968.

The spelling of 101661056 in words is "one hundred one million, six hundred sixty-one thousand, fifty-six".