107035120 has 40 divisors (see below), whose sum is σ = 249287616. Its totient is φ = 42739968.

The previous prime is 107035109. The next prime is 107035129. The reversal of 107035120 is 21530701.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×107035120² = 22913033826828800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107035129) 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, 87634 + ... + 88846.

Almost surely, 2^107035120 is an apocalyptic number.

107035120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107035120 is an abundant number, since it is smaller than the sum of its proper divisors (142252496).

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

107035120 is a wasteful number, since it uses less digits than its factorization.

107035120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2329 (or 2323 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 19.

The square root of 107035120 is about 10345.7778827887. Note that the first 3 decimals coincide. The cubic root of 107035120 is about 474.7978752217.

Adding to 107035120 its reverse (21530701), we get a palindrome (128565821).

The spelling of 107035120 in words is "one hundred seven million, thirty-five thousand, one hundred twenty".