107709840 has 360 divisors, whose sum is σ = 436632768. Its totient is φ = 23708160.

The previous prime is 107709839. The next prime is 107709859. The reversal of 107709840 is 48907701.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a junction number, because it is equal to n+sod(n) for n = 107709795 and 107709804.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1517005 + ... + 1517075.

Almost surely, 2^107709840 is an apocalyptic number.

107709840 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 107709840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218316384).

107709840 is an abundant number, since it is smaller than the sum of its proper divisors (328922928).

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

107709840 is a wasteful number, since it uses less digits than its factorization.

107709840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 131 counting only the distinct ones).

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

The square root of 107709840 is about 10378.3351265991. The cubic root of 107709840 is about 475.7934513320.

The spelling of 107709840 in words is "one hundred seven million, seven hundred nine thousand, eight hundred forty".