107112096 has 288 divisors, whose sum is σ = 386725248. Its totient is φ = 27371520.

The previous prime is 107112079. The next prime is 107112113. The reversal of 107112096 is 690211701.

It is an interprime number because it is at equal distance from previous prime (107112079) and next prime (107112113).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×107112096² = 22946002219026432, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1598655 + ... + 1598721.

It is an arithmetic number, because the mean of its divisors is an integer number (1342796).

Almost surely, 2^107112096 is an apocalyptic number.

107112096 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 107112096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193362624).

107112096 is an abundant number, since it is smaller than the sum of its proper divisors (279613152).

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

107112096 is a wasteful number, since it uses less digits than its factorization.

107112096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 107112096 is about 10349.4973791001. The cubic root of 107112096 is about 474.9116674156.

Adding to 107112096 its reverse (690211701), we get a palindrome (797323797).

It can be divided in two parts, 10 and 7112096, that added together give a triangular number (7112106 = T₃₇₇₁).

The spelling of 107112096 in words is "one hundred seven million, one hundred twelve thousand, ninety-six".