125885100 has 144 divisors (see below), whose sum is σ = 408473856. Its totient is φ = 29664000.

The previous prime is 125885099. The next prime is 125885107. The reversal of 125885100 is 1588521.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (125885107) 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 47 ways as a sum of consecutive naturals, for example, 121585 + ... + 122615.

It is an arithmetic number, because the mean of its divisors is an integer number (2836624).

Almost surely, 2^125885100 is an apocalyptic number.

125885100 is a gapful number since it is divisible by the number (10) 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 125885100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204236928).

125885100 is an abundant number, since it is smaller than the sum of its proper divisors (282588756).

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

125885100 is a wasteful number, since it uses less digits than its factorization.

125885100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 30.

The square root of 125885100 is about 11219.8529402127. The cubic root of 125885100 is about 501.1773588098.

The spelling of 125885100 in words is "one hundred twenty-five million, eight hundred eighty-five thousand, one hundred".