100025200 has 120 divisors (see below), whose sum is σ = 265697280. Its totient is φ = 35884800.

The previous prime is 100025173. The next prime is 100025201. The reversal of 100025200 is 2520001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100025201) 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, 558711 + ... + 558889.

It is an arithmetic number, because the mean of its divisors is an integer number (2214144).

Almost surely, 2^100025200 is an apocalyptic number.

100025200 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 100025200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132848640).

100025200 is an abundant number, since it is smaller than the sum of its proper divisors (165672080).

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

100025200 is a wasteful number, since it uses less digits than its factorization.

100025200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 100025200 is about 10001.2599206300. The cubic root of 100025200 is about 464.1978694328.

Adding to 100025200 its reverse (2520001), we get a palindrome (102545201).

The spelling of 100025200 in words is "one hundred million, twenty-five thousand, two hundred".