101005056 has 90 divisors (see below), whose sum is σ = 301240632. Its totient is φ = 33661440.

The previous prime is 101005039. The next prime is 101005133. The reversal of 101005056 is 650500101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 18301 + ... + 23171.

Almost surely, 2^101005056 is an apocalyptic number.

101005056 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 101005056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150620316).

101005056 is an abundant number, since it is smaller than the sum of its proper divisors (200235576).

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

101005056 is an frugal number, since it uses more digits than its factorization.

101005056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4899 (or 4876 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 101005056 is about 10050.1271633746. The cubic root of 101005056 is about 465.7087215550.

Adding to 101005056 its reverse (650500101), we get a palindrome (751505157).

The spelling of 101005056 in words is "one hundred one million, five thousand, fifty-six".