107742096 has 320 divisors, whose sum is σ = 399974400. Its totient is φ = 26956800.

The previous prime is 107742067. The next prime is 107742119. The reversal of 107742096 is 690247701.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 107742096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1363785 + ... + 1363863.

It is an arithmetic number, because the mean of its divisors is an integer number (1249920).

Almost surely, 2^107742096 is an apocalyptic number.

107742096 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 107742096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199987200).

107742096 is an abundant number, since it is smaller than the sum of its proper divisors (292232304).

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

107742096 is a wasteful number, since it uses less digits than its factorization.

107742096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 107742096 is about 10379.8890167477. The cubic root of 107742096 is about 475.8409420775.

Adding to 107742096 its reverse (690247701), we get a palindrome (797989797).

The spelling of 107742096 in words is "one hundred seven million, seven hundred forty-two thousand, ninety-six".