106950096 has 120 divisors (see below), whose sum is σ = 329041440. Its totient is φ = 32160000.

The previous prime is 106950089. The next prime is 106950097. The reversal of 106950096 is 690059601.

106950096 is a `hidden beast` number, since 1 + 0 + 69 + 500 + 96 = 666.

It is a super-2 number, since 2×106950096² = 22876646068818432, 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 106950096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106950097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 397450 + ... + 397718.

It is an arithmetic number, because the mean of its divisors is an integer number (2742012).

Almost surely, 2^106950096 is an apocalyptic number.

106950096 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 106950096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164520720).

106950096 is an abundant number, since it is smaller than the sum of its proper divisors (222091344).

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

106950096 is a wasteful number, since it uses less digits than its factorization.

106950096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 106950096 is about 10341.6679505774. The cubic root of 106950096 is about 474.6721223896.

The spelling of 106950096 in words is "one hundred six million, nine hundred fifty thousand, ninety-six".