125344100 has 72 divisors (see below), whose sum is σ = 312563328. Its totient is φ = 42739200.

The previous prime is 125344057. The next prime is 125344103. The reversal of 125344100 is 1443521.

It is a super-2 number, since 2×125344100² = 31422286809620000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125344103) 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, 168329 + ... + 169071.

Almost surely, 2^125344100 is an apocalyptic number.

125344100 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 125344100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156281664).

125344100 is an abundant number, since it is smaller than the sum of its proper divisors (187219228).

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

125344100 is a wasteful number, since it uses less digits than its factorization.

125344100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 125344100 is about 11195.7179314236. The cubic root of 125344100 is about 500.4583796478.

Adding to 125344100 its reverse (1443521), we get a palindrome (126787621).

The spelling of 125344100 in words is "one hundred twenty-five million, three hundred forty-four thousand, one hundred".