106816950 has 72 divisors (see below), whose sum is σ = 303884568. Its totient is φ = 26807040.

The previous prime is 106816937. The next prime is 106816951. The reversal of 106816950 is 59618601.

It is a super-2 number, since 2×106816950² = 22819721614605000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106816951) 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 35 ways as a sum of consecutive naturals, for example, 669 + ... + 14631.

It is an arithmetic number, because the mean of its divisors is an integer number (4220619).

Almost surely, 2^106816950 is an apocalyptic number.

106816950 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 106816950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151942284).

106816950 is an abundant number, since it is smaller than the sum of its proper divisors (197067618).

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

106816950 is a wasteful number, since it uses less digits than its factorization.

106816950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13998 (or 13990 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 106816950 is about 10335.2285896346. The cubic root of 106816950 is about 474.4750618231.

The spelling of 106816950 in words is "one hundred six million, eight hundred sixteen thousand, nine hundred fifty".