125106432 has 144 divisors (see below), whose sum is σ = 370863360. Its totient is φ = 37120000.

The previous prime is 125106409. The next prime is 125106437. The reversal of 125106432 is 234601521.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (125106437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 498307 + ... + 498557.

It is an arithmetic number, because the mean of its divisors is an integer number (2575440).

Almost surely, 2^125106432 is an apocalyptic number.

125106432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125106432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185431680).

125106432 is an abundant number, since it is smaller than the sum of its proper divisors (245756928).

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

125106432 is a wasteful number, since it uses less digits than its factorization.

125106432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 125106432 is about 11185.0986584831. The cubic root of 125106432 is about 500.1418690759.

Adding to 125106432 its reverse (234601521), we get a palindrome (359707953).

The spelling of 125106432 in words is "one hundred twenty-five million, one hundred six thousand, four hundred thirty-two".