106643100 has 72 divisors (see below), whose sum is σ = 318535168. Its totient is φ = 27518400.

The previous prime is 106643083. The next prime is 106643113. The reversal of 106643100 is 1346601.

It is a super-2 number, since 2×106643100² = 22745501555220000, which contains 22 as substring.

It is a congruent number.

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, 3567 + ... + 15033.

Almost surely, 2^106643100 is an apocalyptic number.

106643100 is a gapful number since it is divisible by the number (10) 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 106643100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159267584).

106643100 is an abundant number, since it is smaller than the sum of its proper divisors (211892068).

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

106643100 is a wasteful number, since it uses less digits than its factorization.

106643100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11515 (or 11508 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 106643100 is about 10326.8146105176. The cubic root of 106643100 is about 474.2175113100.

Adding to 106643100 its reverse (1346601), we get a palindrome (107989701).

The spelling of 106643100 in words is "one hundred six million, six hundred forty-three thousand, one hundred".