106176096 has 240 divisors, whose sum is σ = 353463264. Its totient is φ = 31021056.

The previous prime is 106176089. The next prime is 106176107. The reversal of 106176096 is 690671601.

It is a super-2 number, since 2×106176096² = 22546726723602432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 106176096.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 774940 + ... + 775076.

Almost surely, 2^106176096 is an apocalyptic number.

106176096 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 106176096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176731632).

106176096 is an abundant number, since it is smaller than the sum of its proper divisors (247287168).

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

106176096 is a wasteful number, since it uses less digits than its factorization.

106176096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 106176096 is about 10304.1785698812. The cubic root of 106176096 is about 473.5242783583.

The spelling of 106176096 in words is "one hundred six million, one hundred seventy-six thousand, ninety-six".