107045600 has 108 divisors (see below), whose sum is σ = 278200944. Its totient is φ = 40212480.

The previous prime is 107045581. The next prime is 107045621. The reversal of 107045600 is 6540701.

It is a super-2 number, since 2×107045600² = 22917520958720000, 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 17 ways as a sum of consecutive naturals, for example, 230969 + ... + 231431.

Almost surely, 2^107045600 is an apocalyptic number.

107045600 is a gapful number since it is divisible by the number (10) 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 107045600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139100472).

107045600 is an abundant number, since it is smaller than the sum of its proper divisors (171155344).

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

107045600 is a wasteful number, since it uses less digits than its factorization.

107045600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 107045600 is about 10346.2843571980. The cubic root of 107045600 is about 474.8133708190.

The spelling of 107045600 in words is "one hundred seven million, forty-five thousand, six hundred".