106461225 has 72 divisors (see below), whose sum is σ = 217532952. Its totient is φ = 49305600.

The previous prime is 106461203. The next prime is 106461241. The reversal of 106461225 is 522164601.

106461225 is a `hidden beast` number, since 1 + 0 + 646 + 12 + 2 + 5 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 9162729 + 97298496 = 3027^2 + 9864^2 .

It is not a de Polignac number, because 106461225 - 2⁷ = 106461097 is a prime.

It is a super-2 number, since 2×106461225² = 22667984857001250, 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 71 ways as a sum of consecutive naturals, for example, 48655 + ... + 50795.

It is an arithmetic number, because the mean of its divisors is an integer number (3021291).

Almost surely, 2^106461225 is an apocalyptic number.

106461225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106461225 is an abundant number, since it is smaller than the sum of its proper divisors (111071727).

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

106461225 is a wasteful number, since it uses less digits than its factorization.

106461225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2187 (or 2179 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 106461225 is about 10318.0048943582. The cubic root of 106461225 is about 473.9477723794.

The spelling of 106461225 in words is "one hundred six million, four hundred sixty-one thousand, two hundred twenty-five".