105033235300 has 144 divisors (see below), whose sum is σ = 270008968320. Its totient is φ = 34699392000.

The previous prime is 105033235291. The next prime is 105033235331. The reversal of 105033235300 is 3532330501.

It is a happy number.

It is a super-2 number, since 2×105033235300² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10571335 + ... + 10581265.

It is an arithmetic number, because the mean of its divisors is an integer number (1875062280).

Almost surely, 2^105033235300 is an apocalyptic number.

105033235300 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 105033235300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135004484160).

105033235300 is an abundant number, since it is smaller than the sum of its proper divisors (164975733020).

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

105033235300 is a wasteful number, since it uses less digits than its factorization.

105033235300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10502 (or 10495 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 25.

Adding to 105033235300 its reverse (3532330501), we get a palindrome (108565565801).

The spelling of 105033235300 in words is "one hundred five billion, thirty-three million, two hundred thirty-five thousand, three hundred".