106422336 has 98 divisors (see below), whose sum is σ = 316766702. Its totient is φ = 35458560.

The previous prime is 106422313. The next prime is 106422341. The reversal of 106422336 is 633224601.

106422336 is a `hidden beast` number, since 10 + 642 + 2 + 3 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 94478400 + 11943936 = 9720^2 + 3456^2 .

It is a super-2 number, since 2×106422336² = 22651427199393792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 13 ways as a sum of consecutive naturals, for example, 45516 + ... + 47796.

Almost surely, 2^106422336 is an apocalyptic number.

106422336 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 106422336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158383351).

106422336 is an abundant number, since it is smaller than the sum of its proper divisors (210344366).

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

106422336 is an frugal number, since it uses more digits than its factorization.

106422336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2311 (or 2286 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 106422336 is about 10316.1202009283. The cubic root of 106422336 is about 473.8900562183.

Adding to 106422336 its reverse (633224601), we get a palindrome (739646937).

The spelling of 106422336 in words is "one hundred six million, four hundred twenty-two thousand, three hundred thirty-six".