10135065600 has 1056 divisors, whose sum is σ = 42886778880. Its totient is φ = 2322432000.

The previous prime is 10135065587. The next prime is 10135065617. The reversal of 10135065600 is 656053101.

It is a happy number.

10135065600 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 5 + 0 + 656 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 235699179 + ... + 235699221.

It is an arithmetic number, because the mean of its divisors is an integer number (40612480).

Almost surely, 2^10135065600 is an apocalyptic number.

10135065600 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 10135065600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21443389440).

10135065600 is an abundant number, since it is smaller than the sum of its proper divisors (32751713280).

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

10135065600 is a wasteful number, since it uses less digits than its factorization.

10135065600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The spelling of 10135065600 in words is "ten billion, one hundred thirty-five million, sixty-five thousand, six hundred".