107052200 has 48 divisors (see below), whose sum is σ = 250041660. Its totient is φ = 42624000.

The previous prime is 107052181. The next prime is 107052217. The reversal of 107052200 is 2250701.

It can be written as a sum of positive squares in 6 ways, for example, as 62188996 + 44863204 = 7886^2 + 6698^2 .

It is a super-2 number, since 2×107052200² = 22920347049680000, which contains 22 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 47090 + ... + 49310.

Almost surely, 2^107052200 is an apocalyptic number.

107052200 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 107052200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125020830).

107052200 is an abundant number, since it is smaller than the sum of its proper divisors (142989460).

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

107052200 is a wasteful number, since it uses less digits than its factorization.

107052200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2478 (or 2469 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 17.

The square root of 107052200 is about 10346.6033073661. The cubic root of 107052200 is about 474.8231289777.

The spelling of 107052200 in words is "one hundred seven million, fifty-two thousand, two hundred".