101105056 has 48 divisors (see below), whose sum is σ = 223703424. Its totient is φ = 44630784.

The previous prime is 101105051. The next prime is 101105071. The reversal of 101105056 is 650501101.

It is not an unprimeable number, because it can be changed into a prime (101105051) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4285 + ... + 14851.

It is an arithmetic number, because the mean of its divisors is an integer number (4660488).

Almost surely, 2^101105056 is an apocalyptic number.

101105056 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 101105056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111851712).

101105056 is an abundant number, since it is smaller than the sum of its proper divisors (122598368).

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

101105056 is a wasteful number, since it uses less digits than its factorization.

101105056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10613 (or 10605 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 19.

The square root of 101105056 is about 10055.1009940229. The cubic root of 101105056 is about 465.8623624165.

Adding to 101105056 its reverse (650501101), we get a palindrome (751606157).

The spelling of 101105056 in words is "one hundred one million, one hundred five thousand, fifty-six".