100505125 has 48 divisors (see below), whose sum is σ = 148852080. Its totient is φ = 67536000.

The previous prime is 100505113. The next prime is 100505161. The reversal of 100505125 is 521505001.

It can be written as a sum of positive squares in 8 ways, for example, as 85248289 + 15256836 = 9233^2 + 3906^2 .

It is not a de Polignac number, because 100505125 - 2¹³ = 100496933 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 373491 + ... + 373759.

It is an arithmetic number, because the mean of its divisors is an integer number (3101085).

Almost surely, 2^100505125 is an apocalyptic number.

It is an amenable number.

100505125 is a deficient number, since it is larger than the sum of its proper divisors (48346955).

100505125 is an equidigital number, since it uses as much as digits as its factorization.

100505125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 19.

The square root of 100505125 is about 10025.2244363904. The cubic root of 100505125 is about 464.9390986645.

The spelling of 100505125 in words is "one hundred million, five hundred five thousand, one hundred twenty-five".