106461125 has 8 divisors (see below), whose sum is σ = 132863640. Its totient is φ = 85168800.

The previous prime is 106461119. The next prime is 106461127. The reversal of 106461125 is 521164601.

It is a Cunningham number, because it is equal to 10318²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 1 + 106461124 = 1^2 + 10318^2 .

It is not a de Polignac number, because 106461125 - 2¹⁶ = 106395589 is a prime.

It is a super-2 number, since 2×106461125² = 22667942272531250, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 106461094 and 106461103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106461127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 425720 + ... + 425969.

It is an arithmetic number, because the mean of its divisors is an integer number (16607955).

Almost surely, 2^106461125 is an apocalyptic number.

It is an amenable number.

106461125 is a deficient number, since it is larger than the sum of its proper divisors (26402515).

106461125 is an frugal number, since it uses more digits than its factorization.

106461125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851704 (or 851694 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 106461125 is about 10318.0000484590. Note that the first 4 decimals coincide. The cubic root of 106461125 is about 473.9476239848.

The spelling of 106461125 in words is "one hundred six million, four hundred sixty-one thousand, one hundred twenty-five".