106643361 has 32 divisors (see below), whose sum is σ = 160570368. Its totient is φ = 62389440.

The previous prime is 106643347. The next prime is 106643377. The reversal of 106643361 is 163346601.

106643361 = T₃₅₉ + T₃₆₀ + ... + T₈₈₁.

It is not a de Polignac number, because 106643361 - 2⁷ = 106643233 is a prime.

It is a super-2 number, since 2×106643361² = 22745612890752642, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106643161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 203646 + ... + 204168.

It is an arithmetic number, because the mean of its divisors is an integer number (5017824).

Almost surely, 2^106643361 is an apocalyptic number.

106643361 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106643361 is a deficient number, since it is larger than the sum of its proper divisors (53927007).

106643361 is a wasteful number, since it uses less digits than its factorization.

106643361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741.

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 106643361 is about 10326.8272475141. The cubic root of 106643361 is about 474.2178981788.

Adding to 106643361 its reverse (163346601), we get a palindrome (269989962).

The spelling of 106643361 in words is "one hundred six million, six hundred forty-three thousand, three hundred sixty-one".