106264296 has 96 divisors (see below), whose sum is σ = 299037960. Its totient is φ = 34062336.

The previous prime is 106264289. The next prime is 106264303. The reversal of 106264296 is 692462601.

106264296 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 642 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (106264289) and next prime (106264303).

It can be written as a sum of positive squares in 4 ways, for example, as 78322500 + 27941796 = 8850^2 + 5286^2 .

It is a super-2 number, since 2×106264296² = 22584201208751232, 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 106264296.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 300856 + ... + 301208.

Almost surely, 2^106264296 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 106264296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149518980).

106264296 is an abundant number, since it is smaller than the sum of its proper divisors (192773664).

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

106264296 is a wasteful number, since it uses less digits than its factorization.

106264296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 106264296 is about 10308.4574985785. The cubic root of 106264296 is about 473.6553602234.

The spelling of 106264296 in words is "one hundred six million, two hundred sixty-four thousand, two hundred ninety-six".