107820630 has 96 divisors (see below), whose sum is σ = 312530400. Its totient is φ = 25629696.

The previous prime is 107820623. The next prime is 107820653. The reversal of 107820630 is 36028701.

107820630 = 1084² + 1085² + ... + 1168².

107820630 is a `hidden beast` number, since 1 + 0 + 7 + 8 + 20 + 630 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 107820594 and 107820603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27216 + ... + 30924.

It is an arithmetic number, because the mean of its divisors is an integer number (3255525).

Almost surely, 2^107820630 is an apocalyptic number.

107820630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 107820630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156265200).

107820630 is an abundant number, since it is smaller than the sum of its proper divisors (204709770).

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

107820630 is a wasteful number, since it uses less digits than its factorization.

107820630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3758 (or 3755 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 107820630 is about 10383.6713160616. The cubic root of 107820630 is about 475.9565286431.

The spelling of 107820630 in words is "one hundred seven million, eight hundred twenty thousand, six hundred thirty".