100135200 has 144 divisors (see below), whose sum is σ = 355664736. Its totient is φ = 24268800.

The previous prime is 100135181. The next prime is 100135229. The reversal of 100135200 is 2531001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24504 + ... + 28296.

It is an arithmetic number, because the mean of its divisors is an integer number (2469894).

Almost surely, 2^100135200 is an apocalyptic number.

100135200 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 100135200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177832368).

100135200 is an abundant number, since it is smaller than the sum of its proper divisors (255529536).

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

100135200 is a wasteful number, since it uses less digits than its factorization.

100135200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3827 (or 3814 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 100135200 is about 10006.7577166633. The cubic root of 100135200 is about 464.3679700979.

Adding to 100135200 its reverse (2531001), we get a palindrome (102666201).

The spelling of 100135200 in words is "one hundred million, one hundred thirty-five thousand, two hundred".