106172196 has 48 divisors (see below), whose sum is σ = 267638784. Its totient is φ = 32564736.

The previous prime is 106172167. The next prime is 106172207. The reversal of 106172196 is 691271601.

It is a super-2 number, since 2×106172196² = 22545070406924832, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 58860 + ... + 60636.

It is an arithmetic number, because the mean of its divisors is an integer number (5575808).

Almost surely, 2^106172196 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106172196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133819392).

106172196 is an abundant number, since it is smaller than the sum of its proper divisors (161466588).

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

106172196 is a wasteful number, since it uses less digits than its factorization.

106172196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2180 (or 2178 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 33.

The square root of 106172196 is about 10303.9893245286. The cubic root of 106172196 is about 473.5184805458.

The spelling of 106172196 in words is "one hundred six million, one hundred seventy-two thousand, one hundred ninety-six".