105135319300 has 72 divisors (see below), whose sum is σ = 249132304512. Its totient is φ = 38192880000.

The previous prime is 105135319271. The next prime is 105135319307. The reversal of 105135319300 is 3913531501.

It is a super-2 number, since 2×105135319300² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105135319307) 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, 1067125 + ... + 1161475.

It is an arithmetic number, because the mean of its divisors is an integer number (3460170896).

Almost surely, 2^105135319300 is an apocalyptic number.

105135319300 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 105135319300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124566152256).

105135319300 is an abundant number, since it is smaller than the sum of its proper divisors (143996985212).

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

105135319300 is a wasteful number, since it uses less digits than its factorization.

105135319300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95389 (or 95382 counting only the distinct ones).

The product of its (nonzero) digits is 6075, while the sum is 31.

The spelling of 105135319300 in words is "one hundred five billion, one hundred thirty-five million, three hundred nineteen thousand, three hundred".