106946496 has 84 divisors (see below), whose sum is σ = 310374792. Its totient is φ = 35203584.

The previous prime is 106946471. The next prime is 106946501. The reversal of 106946496 is 694649601.

It is a super-2 number, since 2×106946496² = 22875106013356032, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 46690 + ... + 48926.

It is an arithmetic number, because the mean of its divisors is an integer number (3694938).

Almost surely, 2^106946496 is an apocalyptic number.

106946496 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 106946496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155187396).

106946496 is an abundant number, since it is smaller than the sum of its proper divisors (203428296).

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

106946496 is a wasteful number, since it uses less digits than its factorization.

106946496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2338 (or 2325 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 106946496 is about 10341.4938959514. The cubic root of 106946496 is about 474.6667964202. Note that the first 3 decimals are identical.

The spelling of 106946496 in words is "one hundred six million, nine hundred forty-six thousand, four hundred ninety-six".