106179030 has 96 divisors (see below), whose sum is σ = 300119040. Its totient is φ = 25945920.

The previous prime is 106179019. The next prime is 106179067. The reversal of 106179030 is 30971601.

106179030 is a `hidden beast` number, since 10 + 617 + 9 + 0 + 30 = 666.

It is a super-2 number, since 2×106179030² = 22547972823481800, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 106178985 and 106179003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52009 + ... + 54011.

It is an arithmetic number, because the mean of its divisors is an integer number (3126240).

Almost surely, 2^106179030 is an apocalyptic number.

106179030 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 106179030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150059520).

106179030 is an abundant number, since it is smaller than the sum of its proper divisors (193940010).

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

106179030 is a wasteful number, since it uses less digits than its factorization.

106179030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2066 (or 2063 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 106179030 is about 10304.3209383249. The cubic root of 106179030 is about 473.5286400037.

The spelling of 106179030 in words is "one hundred six million, one hundred seventy-nine thousand, thirty".