106680448100 has 36 divisors (see below), whose sum is σ = 232971107124. Its totient is φ = 42400375680.

The previous prime is 106680448099. The next prime is 106680448111. The reversal of 106680448100 is 1844086601.

It can be written as a sum of positive squares in 6 ways, for example, as 12147566656 + 94532881444 = 110216^2 + 307462^2 .

It is a super-2 number, since 2×106680448100² (a number of 23 digits) contains 22 as substring.

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, 3381767 + ... + 3413166.

Almost surely, 2^106680448100 is an apocalyptic number.

106680448100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106680448100 is an abundant number, since it is smaller than the sum of its proper divisors (126290659024).

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

106680448100 is a wasteful number, since it uses less digits than its factorization.

106680448100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6795104 (or 6795097 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 38.

The spelling of 106680448100 in words is "one hundred six billion, six hundred eighty million, four hundred forty-eight thousand, one hundred".