106113125 has 30 divisors (see below), whose sum is σ = 137257626. Its totient is φ = 82000000.

The previous prime is 106113113. The next prime is 106113127. The reversal of 106113125 is 521311601.

It can be written as a sum of positive squares in 15 ways, for example, as 103347556 + 2765569 = 10166^2 + 1663^2 .

It is not a de Polignac number, because 106113125 - 2⁴ = 106113109 is a prime.

It is a super-2 number, since 2×106113125² = 22519990594531250, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106113097 and 106113106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106113127) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1050575 + ... + 1050675.

Almost surely, 2^106113125 is an apocalyptic number.

It is an amenable number.

106113125 is a deficient number, since it is larger than the sum of its proper divisors (31144501).

106113125 is an frugal number, since it uses more digits than its factorization.

106113125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 106113125 is about 10301.1225116489. The cubic root of 106113125 is about 473.4306471322.

Adding to 106113125 its reverse (521311601), we get a palindrome (627424726).

The spelling of 106113125 in words is "one hundred six million, one hundred thirteen thousand, one hundred twenty-five".