101611056 has 80 divisors (see below), whose sum is σ = 282839040. Its totient is φ = 31342080.

The previous prime is 101611043. The next prime is 101611063. The reversal of 101611056 is 650116101.

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, 32740 + ... + 35708.

It is an arithmetic number, because the mean of its divisors is an integer number (3535488).

Almost surely, 2^101611056 is an apocalyptic number.

101611056 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 101611056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141419520).

101611056 is an abundant number, since it is smaller than the sum of its proper divisors (181227984).

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

101611056 is a wasteful number, since it uses less digits than its factorization.

101611056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3034 (or 3028 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

The square root of 101611056 is about 10080.2309497352. The cubic root of 101611056 is about 466.6382359097.

Adding to 101611056 its reverse (650116101), we get a palindrome (751727157).

The spelling of 101611056 in words is "one hundred one million, six hundred eleven thousand, fifty-six".