106661300 has 36 divisors (see below), whose sum is σ = 231925260. Its totient is φ = 42577920.

The previous prime is 106661299. The next prime is 106661311. The reversal of 106661300 is 3166601.

It can be written as a sum of positive squares in 6 ways, for example, as 17623204 + 89038096 = 4198^2 + 9436^2 .

It is a super-2 number, since 2×106661300² = 22753265835380000, 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 11 ways as a sum of consecutive naturals, for example, 74996 + ... + 76404.

Almost surely, 2^106661300 is an apocalyptic number.

106661300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106661300 is an abundant number, since it is smaller than the sum of its proper divisors (125263960).

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

106661300 is a wasteful number, since it uses less digits than its factorization.

106661300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2180 (or 2173 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 106661300 is about 10327.6957739856. The cubic root of 106661300 is about 474.2444868566.

The spelling of 106661300 in words is "one hundred six million, six hundred sixty-one thousand, three hundred".