107045200 has 30 divisors (see below), whose sum is σ = 257177054. Its totient is φ = 42817920.

The previous prime is 107045167. The next prime is 107045203. The reversal of 107045200 is 2540701.

It can be written as a sum of positive squares in 3 ways, for example, as 34999056 + 72046144 = 5916^2 + 8488^2 .

It is a super-2 number, since 2×107045200² = 22917349686080000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107045203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 133407 + ... + 134206.

Almost surely, 2^107045200 is an apocalyptic number.

107045200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107045200 is an abundant number, since it is smaller than the sum of its proper divisors (150131854).

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

107045200 is a wasteful number, since it uses less digits than its factorization.

107045200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267631 (or 267620 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 107045200 is about 10346.2650265688. The cubic root of 107045200 is about 474.8127794025.

Adding to 107045200 its reverse (2540701), we get a palindrome (109585901).

The spelling of 107045200 in words is "one hundred seven million, forty-five thousand, two hundred".