106930176 has 112 divisors (see below), whose sum is σ = 301447200. Its totient is φ = 33619968.

The previous prime is 106930169. The next prime is 106930193. The reversal of 106930176 is 671039601.

It is a super-2 number, since 2×106930176² = 22868125078781952, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 466830 + ... + 467058.

Almost surely, 2^106930176 is an apocalyptic number.

106930176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106930176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150723600).

106930176 is an abundant number, since it is smaller than the sum of its proper divisors (194517024).

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

106930176 is an equidigital number, since it uses as much as digits as its factorization.

106930176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 106930176 is about 10340.7048115687. The cubic root of 106930176 is about 474.6426505264.

Adding to 106930176 its reverse (671039601), we get a palindrome (777969777).

The spelling of 106930176 in words is "one hundred six million, nine hundred thirty thousand, one hundred seventy-six".