100045125 has 80 divisors (see below), whose sum is σ = 191855664. Its totient is φ = 51840000.

The previous prime is 100045123. The next prime is 100045163. The reversal of 100045125 is 521540001.

It can be written as a sum of positive squares in 8 ways, for example, as 47032164 + 53012961 = 6858^2 + 7281^2 .

It is not a de Polignac number, because 100045125 - 2¹ = 100045123 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100045098 and 100045107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100045123) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 415005 + ... + 415245.

Almost surely, 2^100045125 is an apocalyptic number.

100045125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100045125 is a deficient number, since it is larger than the sum of its proper divisors (91810539).

100045125 is an equidigital number, since it uses as much as digits as its factorization.

100045125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 100045125 is about 10002.2559955242. The cubic root of 100045125 is about 464.2286900943.

Adding to 100045125 its reverse (521540001), we get a palindrome (621585126).

It can be divided in two parts, 10004 and 5125, that added together give a square (15129 = 123²).

The spelling of 100045125 in words is "one hundred million, forty-five thousand, one hundred twenty-five".