106900225936 has 45 divisors (see below), whose sum is σ = 240955200369. Its totient is φ = 45810459072.

The previous prime is 106900225889. The next prime is 106900225951. The reversal of 106900225936 is 639522009601.

The square root of 106900225936 is 326956.

It is a perfect power (a square), and thus also a powerful number.

106900225936 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 91361107600 + 15539118336 = 302260^2 + 124656^2 .

It is a super-2 number, since 2×106900225936² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106900225892 and 106900225901.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9148930 + ... + 9160606.

Almost surely, 2^106900225936 is an apocalyptic number.

106900225936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

106900225936 is the 326956-th square number.

It is an amenable number.

106900225936 is an abundant number, since it is smaller than the sum of its proper divisors (134054974433).

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

106900225936 is an frugal number, since it uses more digits than its factorization.

106900225936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23376 (or 11686 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 43.

The spelling of 106900225936 in words is "one hundred six billion, nine hundred million, two hundred twenty-five thousand, nine hundred thirty-six".