125552100 has 72 divisors (see below), whose sum is σ = 373115008. Its totient is φ = 32572800.

The previous prime is 125552081. The next prime is 125552149. The reversal of 125552100 is 1255521.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5445 + ... + 16755.

Almost surely, 2^125552100 is an apocalyptic number.

125552100 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 125552100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186557504).

125552100 is an abundant number, since it is smaller than the sum of its proper divisors (247562908).

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

125552100 is a wasteful number, since it uses less digits than its factorization.

125552100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11365 (or 11358 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 21.

The square root of 125552100 is about 11205.0033467197. The cubic root of 125552100 is about 500.7350522003.

Multiplying 125552100 by its reverse (1255521), we get a square (157633298144100 = 12555210²).

125552100 divided by its reverse (1255521) gives a square (100 = 10²).

The spelling of 125552100 in words is "one hundred twenty-five million, five hundred fifty-two thousand, one hundred".