106151125 has 16 divisors (see below), whose sum is σ = 134302896. Its totient is φ = 83750400.

The previous prime is 106151093. The next prime is 106151137. The reversal of 106151125 is 521151601.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 22648081 + 83503044 = 4759^2 + 9138^2 .

It is not a de Polignac number, because 106151125 - 2⁵ = 106151093 is a prime.

It is a super-2 number, since 2×106151125² = 22536122677531250, 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 = 106151096 and 106151105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3309 + ... + 14941.

It is an arithmetic number, because the mean of its divisors is an integer number (8393931).

Almost surely, 2^106151125 is an apocalyptic number.

It is an amenable number.

106151125 is a deficient number, since it is larger than the sum of its proper divisors (28151771).

106151125 is an equidigital number, since it uses as much as digits as its factorization.

106151125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11721 (or 11711 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 22.

The square root of 106151125 is about 10302.9668057313. The cubic root of 106151125 is about 473.4871535493.

It can be divided in two parts, 106151 and 125, that added together give a square (106276 = 326²).

The spelling of 106151125 in words is "one hundred six million, one hundred fifty-one thousand, one hundred twenty-five".