107863840 has 96 divisors (see below), whose sum is σ = 293328000. Its totient is φ = 36716544.

The previous prime is 107863837. The next prime is 107863841. The reversal of 107863840 is 48368701.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 107863840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107863841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215911 + ... + 216409.

It is an arithmetic number, because the mean of its divisors is an integer number (3055500).

Almost surely, 2^107863840 is an apocalyptic number.

107863840 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 107863840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146664000).

107863840 is an abundant number, since it is smaller than the sum of its proper divisors (185464160).

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

107863840 is a wasteful number, since it uses less digits than its factorization.

107863840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 107863840 is about 10385.7517782778. The cubic root of 107863840 is about 476.0201013096.

The spelling of 107863840 in words is "one hundred seven million, eight hundred sixty-three thousand, eight hundred forty".