125544100 has 72 divisors (see below), whose sum is σ = 302230656. Its totient is φ = 44880000.

The previous prime is 125544061. The next prime is 125544101. The reversal of 125544100 is 1445521.

It is a super-2 number, since 2×125544100² = 31522642089620000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (125544101) 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, 66165 + ... + 68035.

It is an arithmetic number, because the mean of its divisors is an integer number (4197648).

Almost surely, 2^125544100 is an apocalyptic number.

125544100 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 125544100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151115328).

125544100 is an abundant number, since it is smaller than the sum of its proper divisors (176686556).

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

125544100 is a wasteful number, since it uses less digits than its factorization.

125544100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1957 (or 1950 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 125544100 is about 11204.6463576500. The cubic root of 125544100 is about 500.7244166010.

Adding to 125544100 its reverse (1445521), we get a palindrome (126989621).

The spelling of 125544100 in words is "one hundred twenty-five million, five hundred forty-four thousand, one hundred".