107830400 has 96 divisors (see below), whose sum is σ = 275220480. Its totient is φ = 41702400.

The previous prime is 107830379. The next prime is 107830421. The reversal of 107830400 is 4038701.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (107830379) and next prime (107830421).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98657 + ... + 99743.

It is an arithmetic number, because the mean of its divisors is an integer number (2866880).

Almost surely, 2^107830400 is an apocalyptic number.

107830400 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 107830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137610240).

107830400 is an abundant number, since it is smaller than the sum of its proper divisors (167390080).

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

107830400 is a wasteful number, since it uses less digits than its factorization.

107830400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 107830400 is about 10384.1417555810. The cubic root of 107830400 is about 475.9709042310.

The spelling of 107830400 in words is "one hundred seven million, eight hundred thirty thousand, four hundred".