101115872 has 96 divisors (see below), whose sum is σ = 246395520. Its totient is φ = 40158720.

The previous prime is 101115871. The next prime is 101115899. The reversal of 101115872 is 278511101.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101115871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86363 + ... + 87525.

It is an arithmetic number, because the mean of its divisors is an integer number (2566620).

Almost surely, 2^101115872 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 101115872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123197760).

101115872 is an abundant number, since it is smaller than the sum of its proper divisors (145279648).

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

101115872 is a wasteful number, since it uses less digits than its factorization.

101115872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 26.

The square root of 101115872 is about 10055.6388161071. The cubic root of 101115872 is about 465.8789741398.

Adding to 101115872 its reverse (278511101), we get a palindrome (379626973).

The spelling of 101115872 in words is "one hundred one million, one hundred fifteen thousand, eight hundred seventy-two".