107899680 has 192 divisors, whose sum is σ = 411505920. Its totient is φ = 23199744.

The previous prime is 107899669. The next prime is 107899699. The reversal of 107899680 is 86998701.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 31 ways as a sum of consecutive naturals, for example, 56176 + ... + 58064.

It is an arithmetic number, because the mean of its divisors is an integer number (2143260).

Almost surely, 2^107899680 is an apocalyptic number.

107899680 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 107899680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205752960).

107899680 is an abundant number, since it is smaller than the sum of its proper divisors (303606240).

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

107899680 is a wasteful number, since it uses less digits than its factorization.

107899680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1931 (or 1923 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 48.

The square root of 107899680 is about 10387.4770757870. The cubic root of 107899680 is about 476.0728179915.

The spelling of 107899680 in words is "one hundred seven million, eight hundred ninety-nine thousand, six hundred eighty".