107297820 has 288 divisors, whose sum is σ = 399200256. Its totient is φ = 22809600.

The previous prime is 107297819. The next prime is 107297821. The reversal of 107297820 is 28792701.

It is an interprime number because it is at equal distance from previous prime (107297819) and next prime (107297821).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107297821) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1601427 + ... + 1601493.

It is an arithmetic number, because the mean of its divisors is an integer number (1386112).

Almost surely, 2^107297820 is an apocalyptic number.

107297820 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 107297820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199600128).

107297820 is an abundant number, since it is smaller than the sum of its proper divisors (291902436).

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

107297820 is a wasteful number, since it uses less digits than its factorization.

107297820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 107297820 is about 10358.4661026621. The cubic root of 107297820 is about 475.1859954891.

The spelling of 107297820 in words is "one hundred seven million, two hundred ninety-seven thousand, eight hundred twenty".