107350830 has 96 divisors (see below), whose sum is σ = 291582720. Its totient is φ = 27371520.

The previous prime is 107350829. The next prime is 107350843. The reversal of 107350830 is 38053701.

It is a junction number, because it is equal to n+sod(n) for n = 107350794 and 107350803.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 303934 + ... + 304286.

It is an arithmetic number, because the mean of its divisors is an integer number (3037320).

Almost surely, 2^107350830 is an apocalyptic number.

107350830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 107350830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145791360).

107350830 is an abundant number, since it is smaller than the sum of its proper divisors (184231890).

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

107350830 is a wasteful number, since it uses less digits than its factorization.

107350830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 107350830 is about 10361.0245632370. The cubic root of 107350830 is about 475.2642370988.

The spelling of 107350830 in words is "one hundred seven million, three hundred fifty thousand, eight hundred thirty".