106172842230 has 480 divisors, whose sum is σ = 355846867200. Its totient is φ = 22240168704.

The previous prime is 106172842201. The next prime is 106172842261. The reversal of 106172842230 is 32248271601.

It is a happy number.

106172842230 is a `hidden beast` number, since 1 + 0 + 617 + 2 + 8 + 4 + 2 + 2 + 30 = 666.

It is a super-2 number, since 2×106172842230² (a number of 23 digits) 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 239 ways as a sum of consecutive naturals, for example, 171522861 + ... + 171523479.

It is an arithmetic number, because the mean of its divisors is an integer number (741347640).

Almost surely, 2^106172842230 is an apocalyptic number.

106172842230 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 106172842230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177923433600).

106172842230 is an abundant number, since it is smaller than the sum of its proper divisors (249674024970).

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

106172842230 is a wasteful number, since it uses less digits than its factorization.

106172842230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 106172842230 in words is "one hundred six billion, one hundred seventy-two million, eight hundred forty-two thousand, two hundred thirty".