10053077700 has 108 divisors (see below), whose sum is σ = 29355950960. Its totient is φ = 2656113600.

The previous prime is 10053077693. The next prime is 10053077701. The reversal of 10053077700 is 777035001.

10053077700 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 (30).

It is not an unprimeable number, because it can be changed into a prime (10053077701) 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, 20474455 + ... + 20474945.

Almost surely, 2^10053077700 is an apocalyptic number.

10053077700 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 10053077700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14677975480).

10053077700 is an abundant number, since it is smaller than the sum of its proper divisors (19302873260).

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

10053077700 is a wasteful number, since it uses less digits than its factorization.

10053077700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 5145, while the sum is 30.

The spelling of 10053077700 in words is "ten billion, fifty-three million, seventy-seven thousand, seven hundred".