106112125 has 16 divisors (see below), whose sum is σ = 151347456. Its totient is φ = 72762000.

The previous prime is 106112107. The next prime is 106112129. The reversal of 106112125 is 521211601.

It is not a de Polignac number, because 106112125 - 2⁹ = 106111613 is a prime.

It is a super-2 number, since 2×106112125² = 22519566144031250, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106112129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59761 + ... + 61510.

It is an arithmetic number, because the mean of its divisors is an integer number (9459216).

Almost surely, 2^106112125 is an apocalyptic number.

It is an amenable number.

106112125 is a deficient number, since it is larger than the sum of its proper divisors (45235331).

106112125 is an equidigital number, since it uses as much as digits as its factorization.

106112125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121293 (or 121283 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 19.

The square root of 106112125 is about 10301.0739731350. The cubic root of 106112125 is about 473.4291599391.

Adding to 106112125 its reverse (521211601), we get a palindrome (627323726).

It can be divided in two parts, 106 and 112125, that multiplied together give a triangular number (11885250 = T₄₈₇₅).

The spelling of 106112125 in words is "one hundred six million, one hundred twelve thousand, one hundred twenty-five".