106643300 has 18 divisors (see below), whose sum is σ = 231416178. Its totient is φ = 42657280.

The previous prime is 106643293. The next prime is 106643347. The reversal of 106643300 is 3346601.

It can be written as a sum of positive squares in 3 ways, for example, as 13366336 + 93276964 = 3656^2 + 9658^2 .

It is a super-2 number, since 2×106643300² = 22745586869780000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 533117 + ... + 533316.

Almost surely, 2^106643300 is an apocalyptic number.

106643300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106643300 is an abundant number, since it is smaller than the sum of its proper divisors (124772878).

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

106643300 is a wasteful number, since it uses less digits than its factorization.

106643300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066447 (or 1066440 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

The square root of 106643300 is about 10326.8242940412. The cubic root of 106643300 is about 474.2178077612.

Adding to 106643300 its reverse (3346601), we get a palindrome (109989901).

The spelling of 106643300 in words is "one hundred six million, six hundred forty-three thousand, three hundred".