10107930 has 64 divisors (see below), whose sum is σ = 28016640. Its totient is φ = 2286144.

The previous prime is 10107917. The next prime is 10107947. The reversal of 10107930 is 3970101.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10107897 and 10107906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26481 + ... + 26859.

It is an arithmetic number, because the mean of its divisors is an integer number (437760).

Almost surely, 2^10107930 is an apocalyptic number.

10107930 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 10107930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14008320).

10107930 is an abundant number, since it is smaller than the sum of its proper divisors (17908710).

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

10107930 is a wasteful number, since it uses less digits than its factorization.

10107930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523.

The product of its (nonzero) digits is 189, while the sum is 21.

The square root of 10107930 is about 3179.2970921259. The cubic root of 10107930 is about 216.2157908621.

The spelling of 10107930 in words is "ten million, one hundred seven thousand, nine hundred thirty".