107133200 has 30 divisors (see below), whose sum is σ = 257388474. Its totient is φ = 42853120.

The previous prime is 107133197. The next prime is 107133211. The reversal of 107133200 is 2331701.

It can be written as a sum of positive squares in 3 ways, for example, as 300304 + 106832896 = 548^2 + 10336^2 .

It is a super-2 number, since 2×107133200² = 22955045084480000, which contains 22 as substring.

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 5 ways as a sum of consecutive naturals, for example, 133517 + ... + 134316.

Almost surely, 2^107133200 is an apocalyptic number.

107133200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107133200 is an abundant number, since it is smaller than the sum of its proper divisors (150255274).

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

107133200 is a wasteful number, since it uses less digits than its factorization.

107133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267851 (or 267840 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 17.

The square root of 107133200 is about 10350.5168953053. The cubic root of 107133200 is about 474.9428555448.

Adding to 107133200 its reverse (2331701), we get a palindrome (109464901).

The spelling of 107133200 in words is "one hundred seven million, one hundred thirty-three thousand, two hundred".