100006830 has 96 divisors (see below), whose sum is σ = 324200448. Its totient is φ = 20779200.

The previous prime is 100006817. The next prime is 100006891. The reversal of 100006830 is 38600001.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 286 + ... + 14145.

It is an arithmetic number, because the mean of its divisors is an integer number (3377088).

Almost surely, 2^100006830 is an apocalyptic number.

100006830 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 100006830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162100224).

100006830 is an abundant number, since it is smaller than the sum of its proper divisors (224193618).

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

100006830 is a wasteful number, since it uses less digits than its factorization.

100006830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14462 (or 14459 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 100006830 is about 10000.3414941691. The cubic root of 100006830 is about 464.1694504713.

Adding to 100006830 its reverse (38600001), we get a palindrome (138606831).

The spelling of 100006830 in words is "one hundred million, six thousand, eight hundred thirty".