100514200 has 144 divisors (see below), whose sum is σ = 260385120. Its totient is φ = 36034560.

The previous prime is 100514191. The next prime is 100514201. The reversal of 100514200 is 2415001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100514201) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 2138577 + ... + 2138623.

It is an arithmetic number, because the mean of its divisors is an integer number (1808230).

Almost surely, 2^100514200 is an apocalyptic number.

100514200 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 100514200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130192560).

100514200 is an abundant number, since it is smaller than the sum of its proper divisors (159870920).

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

100514200 is a wasteful number, since it uses less digits than its factorization.

100514200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 100514200 is about 10025.6770344950. The cubic root of 100514200 is about 464.9530919653.

Adding to 100514200 its reverse (2415001), we get a palindrome (102929201).

The spelling of 100514200 in words is "one hundred million, five hundred fourteen thousand, two hundred".