107097200 has 120 divisors (see below), whose sum is σ = 307027968. Its totient is φ = 35101440.

The previous prime is 107097197. The next prime is 107097209. The reversal of 107097200 is 2790701.

It is a super-2 number, since 2×107097200² = 22939620495680000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 107097200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107097209) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 63569 + ... + 65231.

Almost surely, 2^107097200 is an apocalyptic number.

107097200 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 107097200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153513984).

107097200 is an abundant number, since it is smaller than the sum of its proper divisors (199930768).

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

107097200 is a wasteful number, since it uses less digits than its factorization.

107097200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1711 (or 1700 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 26.

The square root of 107097200 is about 10348.7777056037. Note that the first 4 decimals coincide. The cubic root of 107097200 is about 474.8896511901.

The spelling of 107097200 in words is "one hundred seven million, ninety-seven thousand, two hundred".