125106405 has 16 divisors (see below), whose sum is σ = 200418624. Its totient is φ = 66640640.

The previous prime is 125106403. The next prime is 125106409. The reversal of 125106405 is 504601521.

It is not a de Polignac number, because 125106405 - 2¹ = 125106403 is a prime.

It is a super-2 number, since 2×125106405² = 31303225144048050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125106403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8482 + ... + 17948.

It is an arithmetic number, because the mean of its divisors is an integer number (12526164).

Almost surely, 2^125106405 is an apocalyptic number.

125106405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

125106405 is a deficient number, since it is larger than the sum of its proper divisors (75312219).

125106405 is an equidigital number, since it uses as much as digits as its factorization.

125106405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10356.

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 125106405 is about 11185.0974515200. The cubic root of 125106405 is about 500.1418330963.

Adding to 125106405 its reverse (504601521), we get a palindrome (629707926).

It can be divided in two parts, 12510 and 6405, that added together give a triangular number (18915 = T₁₉₄).

The spelling of 125106405 in words is "one hundred twenty-five million, one hundred six thousand, four hundred five".