101248056 has 320 divisors, whose sum is σ = 373222080. Its totient is φ = 24883200.

The previous prime is 101248051. The next prime is 101248057. The reversal of 101248056 is 650842101.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101248051) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 1002406 + ... + 1002506.

It is an arithmetic number, because the mean of its divisors is an integer number (1166319).

Almost surely, 2^101248056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101248056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186611040).

101248056 is an abundant number, since it is smaller than the sum of its proper divisors (271974024).

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

101248056 is a wasteful number, since it uses less digits than its factorization.

101248056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 101248056 is about 10062.2093001488. The cubic root of 101248056 is about 466.0818929308.

The spelling of 101248056 in words is "one hundred one million, two hundred forty-eight thousand, fifty-six".