107814000 has 320 divisors, whose sum is σ = 423401472. Its totient is φ = 23040000.

The previous prime is 107813989. The next prime is 107814013. The reversal of 107814000 is 418701.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 63 ways as a sum of consecutive naturals, for example, 713925 + ... + 714075.

Almost surely, 2^107814000 is an apocalyptic number.

107814000 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 107814000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211700736).

107814000 is an abundant number, since it is smaller than the sum of its proper divisors (315587472).

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

107814000 is a wasteful number, since it uses less digits than its factorization.

107814000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 107814000 is about 10383.3520599082. The cubic root of 107814000 is about 475.9467727597.

The spelling of 107814000 in words is "one hundred seven million, eight hundred fourteen thousand".