107820860 has 48 divisors (see below), whose sum is σ = 260789760. Its totient is φ = 36678720.

The previous prime is 107820847. The next prime is 107820887. The reversal of 107820860 is 68028701.

It is a super-2 number, since 2×107820860² = 23250675702279200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15401 + ... + 21279.

It is an arithmetic number, because the mean of its divisors is an integer number (5433120).

Almost surely, 2^107820860 is an apocalyptic number.

107820860 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 107820860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130394880).

107820860 is an abundant number, since it is smaller than the sum of its proper divisors (152968900).

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

107820860 is a wasteful number, since it uses less digits than its factorization.

107820860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6026 (or 6024 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 107820860 is about 10383.6823911366. The cubic root of 107820860 is about 475.9568670753.

The spelling of 107820860 in words is "one hundred seven million, eight hundred twenty thousand, eight hundred sixty".