125505100 has 72 divisors (see below), whose sum is σ = 318917088. Its totient is φ = 41971200.

The previous prime is 125505097. The next prime is 125505103. The reversal of 125505100 is 1505521.

It is an interprime number because it is at equal distance from previous prime (125505097) and next prime (125505103).

It is not an unprimeable number, because it can be changed into a prime (125505103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26514 + ... + 30886.

It is an arithmetic number, because the mean of its divisors is an integer number (4429404).

Almost surely, 2^125505100 is an apocalyptic number.

125505100 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 125505100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159458544).

125505100 is an abundant number, since it is smaller than the sum of its proper divisors (193411988).

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

125505100 is a wasteful number, since it uses less digits than its factorization.

125505100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4435 (or 4428 counting only the distinct ones).

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

The square root of 125505100 is about 11202.9058730313. The cubic root of 125505100 is about 500.6725615829.

The spelling of 125505100 in words is "one hundred twenty-five million, five hundred five thousand, one hundred".