107380200 has 96 divisors (see below), whose sum is σ = 334978560. Its totient is φ = 28454400.

The previous prime is 107380199. The next prime is 107380213. The reversal of 107380200 is 2083701.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114132 + ... + 115068.

It is an arithmetic number, because the mean of its divisors is an integer number (3489360).

Almost surely, 2^107380200 is an apocalyptic number.

107380200 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 107380200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167489280).

107380200 is an abundant number, since it is smaller than the sum of its proper divisors (227598360).

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

107380200 is a wasteful number, since it uses less digits than its factorization.

107380200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 107380200 is about 10362.4417971827. The cubic root of 107380200 is about 475.3075754934.

The spelling of 107380200 in words is "one hundred seven million, three hundred eighty thousand, two hundred".