115742116 has 36 divisors (see below), whose sum is σ = 237006000. Its totient is φ = 49311696.

The previous prime is 115742101. The next prime is 115742119. The reversal of 115742116 is 611247511.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (115742119) 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 11 ways as a sum of consecutive naturals, for example, 33435 + ... + 36733.

It is an arithmetic number, because the mean of its divisors is an integer number (6583500).

Almost surely, 2^115742116 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 115742116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118503000).

115742116 is an abundant number, since it is smaller than the sum of its proper divisors (121263884).

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

115742116 is a wasteful number, since it uses less digits than its factorization.

115742116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3496 (or 3487 counting only the distinct ones).

The product of its digits is 1680, while the sum is 28.

The square root of 115742116 is about 10758.3509888830. The cubic root of 115742116 is about 487.3382199101.

Adding to 115742116 its reverse (611247511), we get a palindrome (726989627).

The spelling of 115742116 in words is "one hundred fifteen million, seven hundred forty-two thousand, one hundred sixteen".