10135763800 has 96 divisors (see below), whose sum is σ = 25106317200. Its totient is φ = 3792199680.

The previous prime is 10135763723. The next prime is 10135763857. The reversal of 10135763800 is 836753101.

10135763800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 545056 + ... + 563344.

Almost surely, 2^10135763800 is an apocalyptic number.

10135763800 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 10135763800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12553158600).

10135763800 is an abundant number, since it is smaller than the sum of its proper divisors (14970553400).

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

10135763800 is a wasteful number, since it uses less digits than its factorization.

10135763800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18485 (or 18476 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The spelling of 10135763800 in words is "ten billion, one hundred thirty-five million, seven hundred sixty-three thousand, eight hundred".