10135200 has 144 divisors (see below), whose sum is σ = 34122816. Its totient is φ = 2611200.

The previous prime is 10135199. The next prime is 10135201. The reversal of 10135200 is 253101.

10135200 = T₂₀₅ + T₂₀₆ + ... + T₄₁₀.

It is an interprime number because it is at equal distance from previous prime (10135199) and next prime (10135201).

It is a super-3 number, since 3×10135200³ (a number of 22 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10135201) 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, 98349 + ... + 98451.

It is an arithmetic number, because the mean of its divisors is an integer number (236964).

Almost surely, 2^10135200 is an apocalyptic number.

10135200 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 10135200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17061408).

10135200 is an abundant number, since it is smaller than the sum of its proper divisors (23987616).

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

10135200 is a wasteful number, since it uses less digits than its factorization.

10135200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 154 counting only the distinct ones).

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

The square root of 10135200 is about 3183.5828872514. The cubic root of 10135200 is about 216.4100578099.

Adding to 10135200 its reverse (253101), we get a palindrome (10388301).

The spelling of 10135200 in words is "ten million, one hundred thirty-five thousand, two hundred".