107133120 has 84 divisors (see below), whose sum is σ = 368503200. Its totient is φ = 28568064.

The previous prime is 107133119. The next prime is 107133161. The reversal of 107133120 is 21331701.

It is a super-2 number, since 2×107133120² = 22955010801868800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 107133093 and 107133102.

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 11 ways as a sum of consecutive naturals, for example, 15720 + ... + 21479.

Almost surely, 2^107133120 is an apocalyptic number.

107133120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107133120 is an abundant number, since it is smaller than the sum of its proper divisors (261370080).

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

107133120 is a wasteful number, since it uses less digits than its factorization.

107133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37222 (or 37209 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 107133120 is about 10350.5130307633. The cubic root of 107133120 is about 474.9427373261.

Adding to 107133120 its reverse (21331701), we get a palindrome (128464821).

It can be divided in two parts, 1071 and 33120, that added together give a triangular number (34191 = T₂₆₁).

The spelling of 107133120 in words is "one hundred seven million, one hundred thirty-three thousand, one hundred twenty".