100405125 has 48 divisors (see below), whose sum is σ = 186900480. Its totient is φ = 51804000.

The previous prime is 100405073. The next prime is 100405141. The reversal of 100405125 is 521504001.

It is not a de Polignac number, because 100405125 - 2¹⁸ = 100142981 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100405098 and 100405107.

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, 33436 + ... + 36314.

It is an arithmetic number, because the mean of its divisors is an integer number (3893760).

Almost surely, 2^100405125 is an apocalyptic number.

100405125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100405125 is a deficient number, since it is larger than the sum of its proper divisors (86495355).

100405125 is a wasteful number, since it uses less digits than its factorization.

100405125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2931 (or 2918 counting only the distinct ones).

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

The square root of 100405125 is about 10020.2357756692. The cubic root of 100405125 is about 464.7848467015.

Adding to 100405125 its reverse (521504001), we get a palindrome (621909126).

The spelling of 100405125 in words is "one hundred million, four hundred five thousand, one hundred twenty-five".