109000125 has 96 divisors (see below), whose sum is σ = 219754080. Its totient is φ = 51609600.

The previous prime is 109000091. The next prime is 109000147. The reversal of 109000125 is 521000901.

109000125 = 2035² + 2036² + ... + 2060².

It can be written as a sum of positive squares in 16 ways, for example, as 61638201 + 47361924 = 7851^2 + 6882^2 .

It is not a de Polignac number, because 109000125 - 2⁹ = 108999613 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 109000098 and 109000107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 423997 + ... + 424253.

It is an arithmetic number, because the mean of its divisors is an integer number (2289105).

Almost surely, 2^109000125 is an apocalyptic number.

109000125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

109000125 is an abundant number, since it is smaller than the sum of its proper divisors (110753955).

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

109000125 is a wasteful number, since it uses less digits than its factorization.

109000125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 109000125 is about 10440.3124953231. The cubic root of 109000125 is about 477.6858007050.

It can be divided in two parts, 1090001 and 25, that added together give a triangular number (1090026 = T₁₄₇₆).

The spelling of 109000125 in words is "one hundred nine million, one hundred twenty-five", and thus it is an aban number.