101711104 has 72 divisors (see below), whose sum is σ = 233261280. Its totient is φ = 43776000.

The previous prime is 101711101. The next prime is 101711111. The reversal of 101711104 is 401117101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101711101) 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 7 ways as a sum of consecutive naturals, for example, 52554 + ... + 54454.

It is an arithmetic number, because the mean of its divisors is an integer number (3239740).

Almost surely, 2^101711104 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 101711104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116630640).

101711104 is an abundant number, since it is smaller than the sum of its proper divisors (131550176).

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

101711104 is a wasteful number, since it uses less digits than its factorization.

101711104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1947 (or 1933 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 16.

The square root of 101711104 is about 10085.1923134861. The cubic root of 101711104 is about 466.7913390258.

Adding to 101711104 its reverse (401117101), we get a palindrome (502828205).

It can be divided in two parts, 1017 and 11104, that added together give a palindrome (12121).

The spelling of 101711104 in words is "one hundred one million, seven hundred eleven thousand, one hundred four".